Relevant bibliographies by topics / Homeomorphisms of the interval

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Homeomorphisms of the interval'

Author: Grafiati
Published: 24 April 2022

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Journal articles on the topic "Homeomorphisms of the interval"

1

TRESSER, CHARLES, and AMIE WILKINSON. "WHEN AN INFINITELY-RENORMALIZABLE ENDOMORPHISM OF THE INTERVAL CAN BE SMOOTHED." Fractals 03, no. 04 (1995): 701–11. http://dx.doi.org/10.1142/s0218348x9500062x.

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Let K be a closed subset of a smooth manifold M, and let f: K→K be a continuous self-map of K. We say that f is smoothable if it is conjugate to the restriction of a smooth map by a homeomorphism of the ambient space M. We give a necessary condition for the smoothability of the faithfully infinitely interval-renormalizable homeomorphisms of Cantor sets in the unit interval. This class contains, in particular, all minimal homeomorphisms of Cantor sets in the line which extend to continuous maps of an interval with zero topological entropy.
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Alsedà, Ll, and M. Misiurewicz. "Random interval homeomorphisms." Publicacions Matemàtiques EXTRA (April 1, 2014): 15–36. http://dx.doi.org/10.5565/publmat_extra14_01.

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Jarczyk, Witold. "Reversible interval homeomorphisms." Journal of Mathematical Analysis and Applications 272, no. 2 (2002): 473–79. http://dx.doi.org/10.1016/s0022-247x(02)00164-6.

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Brucks, Karen M., Maria Victoria Otero-Espinar, and Charles Tresser. "Homeomorphic restrictions of smooth endomorphisms of an interval." Ergodic Theory and Dynamical Systems 12, no. 3 (1992): 429–39. http://dx.doi.org/10.1017/s0143385700006878.

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AbstractWe describe the asymptotic dynamics of homeomorphisms obtained as restrictions of generic C2 endomorphisms of an interval with finitely many critical points, all of which are non-flat, and with all periodic points hyperbolic. The ω -limit set of such a restricted endomorphism cannot be infinite, except when the restriction of the endomorphism to the closure of the orbit of some critical point is a minimal homeomorphism of an infinite set.
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Downarowicz, Tomasz, R. Daniel Mauldin, and Tony T. Warnock. "Random circle homeomorphisms." Ergodic Theory and Dynamical Systems 12, no. 3 (1992): 441–58. http://dx.doi.org/10.1017/s014338570000688x.

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AbstractWe investigate the behaviour of random homeomorphisms of the circle induced by composing a random homeomorphism of the interval with a randomly chosen rotation. These maps and their iterates are a.s. singular and for each rational number r in [0,1) it is shown that there is a positive probability of obtaining a map with rotation number r. For a ‘canonical’ method of producing these maps, bounds on the probability of obtaining a fixed point are obtained. We estimate this probability via computer simulations in three different ways. Simulations are also carried out for two periods. It remains unknown for this method whether a rational rotation number is obtained a.s.
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CONEJEROS, JONATHAN. "The local rotation set is an interval." Ergodic Theory and Dynamical Systems 38, no. 7 (2017): 2571–617. http://dx.doi.org/10.1017/etds.2016.129.

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Let $\text{Homeo}_{0}(\mathbb{R}^{2};0)$ be the set of all homeomorphisms of the plane that are isotopic to the identity and which fix zero. Recently, in Le Roux [L’ensemble de rotation autour d’un point fixe. Astérisque (350) (2013), 1–109], Le Roux gave the definition of the local rotation set of an isotopy$I$ in $\text{Homeo}_{0}(\mathbb{R}^{2};0)$ from the identity to a homeomorphism $f$ and he asked if this set is always an interval. In this article, we give a positive answer to this question and to the analogous question in the case of the open annulus.
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Sang-Hyun KIM, Thomas KOBERDA, and Yash LODHA. "Chain groups of homeomorphisms of the interval." Annales scientifiques de l'École normale supérieure 52, no. 4 (2019): 797–820. http://dx.doi.org/10.24033/asens.2397.

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Jarczyk, W. "Reversibility of interval homeomorphisms without fixed points." Aequationes mathematicae 63, no. 1-2 (2002): 66–75. http://dx.doi.org/10.1007/s00010-002-8005-9.

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Morawiec, Janusz, and Thomas Zürcher. "A new take on random interval homeomorphisms." Fundamenta Mathematicae 257, no. 1 (2022): 1–17. http://dx.doi.org/10.4064/fm904-10-2021.

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KWAPISZ, JAROSLAW, and RICHARD SWANSON. "Asymptotic entropy, periodic orbits, and pseudo-Anosov maps." Ergodic Theory and Dynamical Systems 18, no. 2 (1998): 425–39. http://dx.doi.org/10.1017/s014338579810038x.

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In this paper we derive some properties of a variety of entropy that measures rotational complexity of annulus homeomorphisms, called asymptotic or rotational entropy. In previous work [KS] the authors showed that positive asymptotic entropy implies the existence of infinitely many periodic orbits corresponding to an interval of rotation numbers. In our main result, we show that a Hölder $C^1$ diffeomorphism with nonvanishing asymptotic entropy is isotopic rel a finite set to a pseudo-Anosov map. We also prove that the closure of the set of recurrent points supports positive asymptotic entropy for a ($C^0$) homeomorphism with nonzero asymptotic entropy.
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Dissertations / Theses on the topic "Homeomorphisms of the interval"

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Bleak, Collin. "Solvability in groups of piecewise-linear homeomorphisms of the unit interval." Diss., Online access via UMI:, 2005.

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2

Andersen, Michael Steven. "Almost Homeomorphisms and Inscrutability." BYU ScholarsArchive, 2019. https://scholarsarchive.byu.edu/etd/7748.

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“Homeomorphic'' is the standard equivalence relation in topology. To a topologist, spaces which are homeomorphic to each other aren't merely similar to each other, they are the same space. We study a class of functions which are homeomorphic at “most'' of the points of their domains and codomains, but which may fail to satisfy some of the properties required to be a homeomorphism at a “small'' portion of the points of these spaces. Such functions we call “almost homeomorphisms.'' One of the nice properties of almost homeomorphisms is the preservation of almost open sets, i.e. sets which are “close'' to being open, except for a “small'' set of points where the set is “defective.'' We also find a surprising result that all non-empty, perfect, Polish spaces are almost homeomorphic to each other.A standard technique in algebraic topology is to pass between a continuous map between topological spaces and the corresponding homomorphism of fundamental groups using the π1 functor. It is a non-trivial question to ask when a specific homomorphism is induced by a continuous map; that is, what is the image of the π1 functor on homomorphisms?We will call homomorphisms in the image of the π1 functor “tangible homomorphisms'' and call homomorphisms that are not induced by continuous functions “intangible homomorphisms.'' For example, Conner and Spencer used ultrafilters to prove there is a map from HEG to Z2 not induced by any continuous function f : HE→ Y , where Y is some topological space with π1(Y ) = Z2. However, in standard situations, such as when the domain is a simplicial complex, only tangible homomorphisms appear..Our job is to describe conditions when intangible homomorphisms exist and how easily these maps can be constructed. We use methods from Shelah and Pawlikowski to prove that Conner and Spencer could not have constructed these homomorphisms with a weak version of the Axiom of Choice. This leads us to define and examine a class of pathological objects that cannot be constructed without a strong version of the Axiom of Choice, which we call the class of inscrutable objects. Objects that do not need a strong version of the Axiom of Choice are scrutable. We show that the scrutable homomorphisms from the fundamental group of a Peano continuum are exactly the homomorphisms induced by a continuous function.
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Adams-Florou, Spiros. "Homeomorphisms, homotopy equivalences and chain complexes." Thesis, University of Edinburgh, 2012. http://hdl.handle.net/1842/6250.

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This thesis concerns the relationship between bounded and controlled topology and in particular how these can be used to recognise which homotopy equivalences of reasonable topological spaces are homotopic to homeomorphisms. Let f : X → Y be a simplicial map of finite-dimensional locally finite simplicial complexes. Our first result is that f has contractible point inverses if and only if it is an ε- controlled homotopy equivalences for all ε > 0, if and only if f × id : X × R → Y × R is a homotopy equivalence bounded over the open cone O(Y +) of Pedersen and Weibel. The most difficult part, the passage from contractible point inverses to bounded over O(Y +) is proven using a new construction for a finite dimensional locally finite simplicial complex X, which we call the fundamental ε-subdivision cellulation X'ε. This whole approach can be generalised to algebra using geometric categories. In the second part of the thesis we again work over a finite-dimensional locally finite simplicial complex X, and use the X-controlled categories A*(X), A*(X) of Ranicki and Weiss (1990) together with the bounded categories CM(A) of Pedersen and Weibel (1989). Analogous to the barycentric subdivision of a simplicial complex, we define the algebraic barycentric subdivision of a chain complex over that simplicial complex. The main theorem of the thesis is then that a chain complex C is chain contractible in ( A*(X) A*(X) if and only if “C ¤ Z” 2 (A*(X × R) A*(X × R) is boundedly chain contractible when measured in O(X+) for a functor “ − Z” defined appropriately using algebraic subdivision. In the process we prove a squeezing result: a chain complex with a sufficiently small chain contraction has arbitrarily small chain contractions. The last part of the thesis draws some consequences for recognising homology manifolds in the homotopy types of Poincare Duality spaces. Squeezing tells us that a PL Poincare duality space with sufficiently controlled Poincare duality is necessarily a homology manifold and the main theorem tells us that a PL Poincare duality space X is a homology manifold if and only if X × R has bounded Poincare duality when measured in the open cone O(X+).
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Jung, Wolf. "Homeomorphisms on edges of the mandelbrot set." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964996537.

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Khmelev, Dmitri Viktorovich. "Rigidity theory for circle homeomorphisms with singularities." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/457.

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Banerjee, Kuntal. "On the Arnol'd tongues for circle homeomorphisms." Toulouse 3, 2010. http://www.theses.fr/2010TOU30346.

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Pour une famille ( F_{t,a}:x-&gt;x+t+a phi(x) ) d'homéomorphismes croissants de R avec phi Lipschitz et continue de période 1, il y a un espace de paramètres de valeurs (t,a) pour lesquelles F_{t,a} est strictement croissant et induit un homeomorphisme du cercle préservant l'orientation. Pour theta dans R, il y a dans cet espace de paramètre une langue d'Arnol'd T_theta de nombre de translation theta. Dans cette thèse, on étudie l'allure des langues rationnelles. Etant donné un rationnel p/q, le bord de T_{p/q} est l'union de deux courbes Lipschitz qui s'intersectent en a=0 et il peut y avoir un angle non nul entre ces deux courbes. Quand phi est analytique, on étudie la largueur de ces langues rationnelles dans la tranche a=a_0 lorsque l'on se rapproche de (t_0,a_0) pour lequel F_{t_0,a_0} a une bande de Herman de nombre de translation alpha irrationnel. Dans ce cas, on montre que la largeur de T_{p_N/q_N} décroît exponentiellement par rapport à q_n, où (p_n/q_n) sont les réduites de alpha. Pour la famille standard ( S_{t,a} : x-&gt;x+t+asin(2 pi x) ), le courbes bordant T_{p/q} se touchent et q est leur ordre de contact. En utilisant la notion de famille admissible guidée, on en donne une nouvelle preuve. En particulier, on relie ceci à la multiplicité parabolique de l'application s_{p/q} : z-&gt; exp(i2 pi p/q) z exp(pi z) en 0 et on généralise ce résultat pour les familles admissibles guidées<br>For a family ( F_{t,a}:x-&gt;x+t+a phi(x) ) of increasing homeomorphisms of R with phi being Lipschitz continuous of period 1, there is a parameter space consisting of the values (t,a) such that the map F_{t,a} is strictly increasing and it induces an orientation preserving circle homeomorphism. For each theta in R, there is an Arnol'd tongue T_theta of translation number theta in the parameter space. We study the shape of the rational tongues in this thesis. Given a rational p/q, the boundary of T_{p/q} is a union of two Lipschitz curves which intersect at a=0 and there can be a non zero angle between them. When phi is analytic, we study the widths of these rational tongues on the slice a=a_0 as we approach a parameter (t_0,a_0) such that F_{t_0,a_0} has a Herman strip of translation number alpha in R-Q. In this case we prove that the width of T_{p_n/q_n} at height a_0 decreases exponentially fast with respect to q_n, where (p_n/q_n) are the convergents of alpha. For the standard family ( S_{t,a} : x-&gt;x+t+asin(2 pi x) ), the boundary curves of T_{p/q} touch each other and q is their order of contact. Using the techniques of guided admissible family, we give a new proof of this. In particular we relate this to parabolic multiplicity of the map s_{p/q} : z-&gt; exp(i2 pi p/q) z exp(pi z) at 0 and generalize this result for guided admissible families
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Jäger, T., and A. Passeggi. "On torus homeomorphisms semiconjugate to irrational rotations." Cambridge University Press, 2015. https://tud.qucosa.de/id/qucosa%3A39051.

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In the context of the Franks–Misiurewicz conjecture, we study homeomorphisms of the two-torus semiconjugate to an irrational rotation of the circle. As a special case, this conjecture asserts uniqueness of the rotation vector in this class of systems. We first characterize these maps by the existence of an invariant ‘foliation’ by essential annular continua (essential subcontinua of the torus whose complement is an open annulus) which are permuted with irrational combinatorics. This result places the considered class close to skew products over irrational rotations. Generalizing a well-known result of Herman on forced circle homeomorphisms, we provide a criterion, in terms of topological properties of the annular continua, for the uniqueness of the rotation vector. As a byproduct, we obtain a simple proof for the uniqueness of the rotation vector on decomposable invariant annular continua with empty interior. In addition, we collect a number of observations on the topology and rotation intervals of invariant annular continua with empty interior.
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DeRango, Alessandro. "C*-algebras associated with homeomorphisms of the unit circle." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ53780.pdf.

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Kwakkel, Ferry Henrik. "Surface homeomorphisms : the interplay between topology, geometry and dynamics." Thesis, University of Warwick, 2009. http://wrap.warwick.ac.uk/2772/.

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In this thesis we study certain classes of surface homeomorphisms and in particular the interplay between the topology of the underlying surface and topological, geometrical and dynamical properties of the homeomorphisms. We study three problems in three independent chapters: The first problem is to describe the minimal sets of non-resonant torus homeomorphisms, i.e. those homeomorphisms which are in a sense close to a minimal translation of the torus. We study the possible minimal sets that such a homeomorphism can admit, uniqueness of minimal sets and their relation with other limit sets. Further, we give examples of homeomorphisms to illustrate the possible dynamics. In a sense, this study is a two-dimensional analogue of H. Poincar´e’s study of orbit structures of orientation preserving circle homeomorphisms without periodic points. The second problem concerns the interplay between smoothness of surface diffeomorphisms, entropy and the existence of wandering domains. Every surface admits homeomorphisms with positive entropy that permutes a dense collection of domains that have bounded geometry. However, we show that at a certain level of differentiability it becomes impossible for a diffeomorphism of a surface to have positive entropy and permute a dense collection of domains that has bounded geometry. The third problem concerns quasiconformal homogeneity of surfaces; i.e., whether a surface admits a transitive family of quasiconformal homeomorphisms, with an upper bound on the maximal distortion of these homeomorphisms. In the setting of hyperbolic surfaces, this turns out to be a very intriguing question. Our main result states that there exists a universal lower bound on the maximal dilatation of elements of a transitive family of quasiconformal homeomorphisms on a hyperbolic surface of genus zero.
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Leech, Charmaine. "Zeta functions and hyperbolic distributions of planar expanding homeomorphisms." Thesis, University of Warwick, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263630.

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Books on the topic "Homeomorphisms of the interval"

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1931-, Nishiura Togo, and Waterman Daniel, eds. Homeomorphisms in analysis. American Mathematical Society, 1997.

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Stavinoha, Jan. Interval. Van Oorschot, 1987.

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Cinema interval. Routledge, 1999.

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Snepp, Frank. Decent interval. Orbis, 1988.

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Mirigan, David. Interval studies. Fivenote Music Publishing, 1990.

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Florentin, Smarandache, and Chetry Moon Kumar, eds. Interval groupoids. Infolearnquest, 2010.

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Open interval. University of Pittsburgh Press, 2009.

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Clief-Stefanon, Lyrae Van. Open interval. University of Pittsburgh Press, 2009.

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McCullough, Darryl. Homeomorphisms of 3-manifolds with compressible boundary. American Mathematical Society, 1986.

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Mayer, J. C. The Menger curve: Characterization and extension of homeomorphisms of non-locally-separating closed subsets. Państwowe Wydawn. Nauk., 1986.

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Book chapters on the topic "Homeomorphisms of the interval"

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Martin, Norman M., and Stephen Pollard. "Homeomorphisms." In Closure Spaces and Logic. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-2506-3_5.

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Beyer, W. A., and P. J. Channell. "A functional equation for the embedding of a homeomorphism of the interval into a flow." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0076412.

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Hjorth, Greg. "Classifying homeomorphisms." In Mathematical Surveys and Monographs. American Mathematical Society, 1999. http://dx.doi.org/10.1090/surv/075/04.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "Bi-Lipschitzian homeomorphisms." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/05.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "Approximation by homeomorphisms." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/06.

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McCoy, Robert A., Subiman Kundu, and Varun Jindal. "Spaces of Homeomorphisms." In Function Spaces with Uniform, Fine and Graph Topologies. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77054-3_6.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "Subsets of ℝ." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/01.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "Baire class 1." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/02.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "Differentiability classes." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/03.

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Goffman, Casper, Togo Nishiura, and Daniel Waterman. "The derivative function." In Homeomorphisms in Analysis. American Mathematical Society, 2001. http://dx.doi.org/10.1090/surv/054/04.

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Conference papers on the topic "Homeomorphisms of the interval"

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KOROPECKI, ANDRES, and MEYSAM NASSIRI. "BOUNDARY DYNAMICS FOR SURFACE HOMEOMORPHISMS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0127.

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Andoni, Alexandr, Assaf Naor, Aleksandar Nikolov, Ilya Razenshteyn, and Erik Waingarten. "Hölder Homeomorphisms and Approximate Nearest Neighbors." In 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2018. http://dx.doi.org/10.1109/focs.2018.00024.

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Groff, R. E., D. E. Koditschek, and P. P. Khargonekar. "Piecewise linear homeomorphisms: the scalar case." In Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium. IEEE, 2000. http://dx.doi.org/10.1109/ijcnn.2000.861313.

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STANCIU, VICTORIA. "QUASICONFORMAL BMO HOMEOMORPHISMS BETWEEN RIEMANN SURFACES." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0020.

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GOLBERG, ANATOLY. "DIFFERENTIAL PROPERTIES OF (α, Q)-HOMEOMORPHISMS". У Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0015.

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Fukui, Toshizumi, Krzysztof Kurdyka, and Laurentiu Paunescu. "An inverse mapping theorem for arc-analytic homeomorphisms." In Geometric Singularity Theory. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc65-0-3.

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Medvedev, Vladislav Sergeevich, and Evgenii Viktorovich Zhuzhoma. "Conjugacy of Smale semi-chaotic homeomorphisms and diffeomorphisms." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23011.

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Vadivel, A., P. Thangaraja, and C. John Sundar. "Neutrosophic e-open maps, neutrosophic e-closed maps and neutrosophic e-homeomorphisms in neutrosophic topological spaces." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0062880.

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Roman-Flores, Heriberto, and Yurilev Chalco-Cano. "Transitivity of interval and fuzzy-interval extensions of interval functions." In 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15). Atlantis Press, 2015. http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.203.

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Kwon, Junseok, and Kyoung Mu Lee. "Interval Tracker: Tracking by Interval Analysis." In 2014 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2014. http://dx.doi.org/10.1109/cvpr.2014.447.

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Reports on the topic "Homeomorphisms of the interval"

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Raychev, Nikolay. Compact homeomorphisms of semantic groups. Web of Open Science, 2020. http://dx.doi.org/10.37686/ejai.v1i1.34.

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Chiaro, P. J. Jr. Calibration interval technical basis document. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/304106.

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ABDURRAHAM, N. M. Interval estimation for statistical control. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/808232.

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Thompson, Andrew A. Interval Scales From Paired Comparisons. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada568737.

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McAllester, David A., Pascal Van Hentenryck, and Deepak Kapur. Three Cuts for Accelerated Interval Propagation. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada298215.

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Loui, Ronald, Jerome Feldman, Henry Kyburg, and Jr. Interval-Based Decisions for Reasoning Systems. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada250540.

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S. Kuzio. Probability Distribution for Flowing Interval Spacing. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/837138.

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Parks, A. D. Interval Graphs and Hypergraph Acyclicity Degree. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada241458.

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S. Kuzio. Probability Distribution for Flowing Interval Spacing. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/838653.

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Morozov. METHOD OF INTERVAL EXOGENOUS RESPIRATORY HYPOXIC TRAINING. Federal State Budgetary Educational Establishment of Higher Vocational Education "Povolzhskaya State Academy of Physical Culture, Sports and Tourism" Naberezhnye Chelny, 2013. http://dx.doi.org/10.14526/42_2013_14.

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