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Journal articles on the topic 'Simply connected'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Paré, Robert. "Simply Connected Limits." Canadian Journal of Mathematics 42, no. 4 (1990): 731–46. http://dx.doi.org/10.4153/cjm-1990-038-6.

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The importance of finite limits in completeness conditions has been long recognized. One has only to consider elementary toposes, pretoposes, exact categories, etc., to realize their ubiquity. However, often pullbacks suffice and in a sense are more natural. For example it is pullbacks that are the essential ingredient in composition of spans, partial morphisms and relations. In fact the original definition of elementary topos was based on the notion of partial morphism classifier which involved only pullbacks (see [6]). Many constructions in topos theory, involving left exact functors, such a

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2

Kreck, Matthias. "Simply connected asymmetric manifolds." Journal of Topology 2, no. 2 (2009): 249–61. http://dx.doi.org/10.1112/jtopol/jtp008.

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3

Kreck, Matthias. "Simply connected asymmetric manifolds." Journal of Topology 4, no. 1 (2011): 254–55. http://dx.doi.org/10.1112/jtopol/jtq040.

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4

Bonatto, Marco, and Petr Vojtěchovský. "Simply connected latin quandles." Journal of Knot Theory and Its Ramifications 27, no. 11 (2018): 1843006. http://dx.doi.org/10.1142/s021821651843006x.

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A (left) quandle is connected if its left translations generate a group that acts transitively on the underlying set. In 2014, Eisermann introduced the concept of quandle coverings, corresponding to constant quandle cocycles of Andruskiewitsch and Graña. A connected quandle is simply connected if it has no nontrivial coverings, or, equivalently, if all its second constant cohomology sets with coefficients in symmetric groups are trivial. In this paper, we develop a combinatorial approach to constant cohomology. We prove that connected quandles that are affine over cyclic groups are simply conn

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5

Assem, Ibrahim, and Andrzej Skowroński. "Tilting simply connected algebras." Communications in Algebra 22, no. 12 (1994): 4611–19. http://dx.doi.org/10.1080/00927879408825091.

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6

Assem, I., M. I. Platzeck, M. J. Redondo, and S. Trepode. "Simply connected incidence algebras." Discrete Mathematics 269, no. 1-3 (2003): 333–55. http://dx.doi.org/10.1016/s0012-365x(03)00128-6.

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7

Dimovski, Dončo. "Non-simply connected copes." Topology and its Applications 21, no. 2 (1985): 147–57. http://dx.doi.org/10.1016/0166-8641(85)90101-4.

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8

Assem, Ibrahim, and Shiping Liu. "Strongly Simply Connected Algebras." Journal of Algebra 207, no. 2 (1998): 449–77. http://dx.doi.org/10.1006/jabr.1998.7457.

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9

Assem, Ibrahim, and Peter Brown. "Strongly simply connected Auslander algebras." Glasgow Mathematical Journal 39, no. 1 (1997): 21–27. http://dx.doi.org/10.1017/s0017089500031864.

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Letkbe an algebraically closed field. By an algebra is meant an associative finite dimensionalk-algebra A with an identity. We are interested in studying the representation theory of Λ, that is, in describing the category mod Λ of finitely generated right Λ-modules. Thus we may, without loss of generality, assume that Λ is basic and connected. For our purpose, one strategy consists in using covering techniques to reduce the problem to the case where the algebra is simply connected, then in solving the problem in this latter case. This strategy was proved efficient for representation-finite alg

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10

Kaiser, N. "Mean eigenvalues for simple, simply connected, compact Lie groups." Journal of Physics A: Mathematical and General 39, no. 49 (2006): 15287–98. http://dx.doi.org/10.1088/0305-4470/39/49/013.

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11

Coelho, Flávio U., Ma I. R. Martins, and Bertha Tomé. "Strongly simply connected coil algebras." Colloquium Mathematicum 99, no. 1 (2004): 91–110. http://dx.doi.org/10.4064/cm99-1-9.

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12

Esnault, Hélène, Vasudevan Srinivas, and Jean-Benoît Bost. "Simply connected varieties in characteristic." Compositio Mathematica 152, no. 2 (2015): 255–87. http://dx.doi.org/10.1112/s0010437x15007654.

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We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over an algebraic closure of a finite field if the variety admits a normal projective compactification with boundary locus of codimension greater than or equal to $2$.

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13

Fischer, Hanspeter, Dušan Repovš, Žiga Virk, and Andreas Zastrow. "On semilocally simply connected spaces." Topology and its Applications 158, no. 3 (2011): 397–408. http://dx.doi.org/10.1016/j.topol.2010.11.017.

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14

Pakdaman, Ali. "On the topology of topological fundamental groupoids." Applied General Topology 26, no. 1 (2025): 241–53. https://doi.org/10.4995/agt.2025.21612.

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‎This paper is devoted to the Lasso and the Whisker topology of the fundamental groupoid‎. ‎We prove that topological fundamental groupoid of a given space X is locally path connected ‎in‎ ‎general‎ and is path connected if X is simply connected‎. ‎We show that for locally path connected space X‎, ‎the unit map 1 : X → π X is an embedding if and only if X is a semilocally simply connected space‎. ‎Also‎, ‎we give conditions that guarantee Hausdorffness of the topological fundamental groupoid‎.

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15

Noori, S., and Y. Y. Yousif. "Soft Simply Connected Spaces And Soft Simply Paracompact Spaces." Journal of Physics: Conference Series 1591 (July 2020): 012072. http://dx.doi.org/10.1088/1742-6596/1591/1/012072.

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16

CASTELLANA, NATÀLIA, and NITU KITCHLOO. "A homotopy construction of the adjoint representation for Lie groups." Mathematical Proceedings of the Cambridge Philosophical Society 133, no. 3 (2002): 399–409. http://dx.doi.org/10.1017/s0305004102005947.

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Let G be a compact, simply-connected, simple Lie group and T ⊂ G a maximal torus. The purpose of this paper is to study the connection between various fibrations over BG (where G is a compact, simply-connected, simple Lie group) associated to the adjoint representation and homotopy colimits over poset categories [Cscr ], hocolim[Cscr ]BGI where GI are certain connected maximal rank subgroups of G.

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17

Rempe-Gillen, Lasse, and Dave Sixsmith. "On Connected Preimages of Simply-Connected Domains Under Entire Functions." Geometric and Functional Analysis 29, no. 5 (2019): 1579–615. http://dx.doi.org/10.1007/s00039-019-00488-2.

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18

Berest, Yuri, Ajay C. Ramadoss, and Wai‐Kit Yeung. "Representation homology of simply connected spaces." Journal of Topology 15, no. 2 (2022): 692–744. http://dx.doi.org/10.1112/topo.12231.

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19

TSUJI, Hajime. "Logarithmic Fano Manifolds Are Simply Connected." Tokyo Journal of Mathematics 11, no. 2 (1988): 359–62. http://dx.doi.org/10.3836/tjm/1270133981.

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20

Kihara, Takayuki. "Incomputability of Simply Connected Planar Continua." Computability 1, no. 2 (2012): 131–52. http://dx.doi.org/10.3233/com-12012.

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21

Sixsmith, D. J. "Simply Connected Fast Escaping Fatou Components." Pure and Applied Mathematics Quarterly 8, no. 4 (2012): 1029–46. http://dx.doi.org/10.4310/pamq.2012.v8.n4.a10.

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22

Schultens, Jennifer. "The Kakimizu complex is simply connected." Journal of Topology 3, no. 4 (2010): 883–900. http://dx.doi.org/10.1112/jtopol/jtq028.

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23

REBOUÇAS, M. J. "DISTINGUISHING MARKS OF SIMPLY-CONNECTED UNIVERSES." International Journal of Modern Physics D 09, no. 05 (2000): 561–74. http://dx.doi.org/10.1142/s0218271800000669.

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A statistical quantity suitable for distinguishing simply-connected Robertson–Walker (RW) universes is introduced, and its explicit expressions for the three possible classes of simply-connected RW universes with an uniform distribution of matter are determined. Graphs of the distinguishing mark for each class of RW universes are presented and analyzed. There sprout from our results an improvement on the procedure to extract the topological signature of multiply-connected RW universes, and a refined understanding of that topological signature of these universes studied in previous works.

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24

Assem, Ibrahim, Flávio U. Coelho, and Sonia Trepode. "Simply connected tame quasi-tilted algebras." Journal of Pure and Applied Algebra 172, no. 2-3 (2002): 139–60. http://dx.doi.org/10.1016/s0022-4049(01)00162-1.

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25

Li, Huiling. "Two Pairs of Simply Connected Geometries." European Journal of Combinatorics 6, no. 3 (1985): 245–51. http://dx.doi.org/10.1016/s0195-6698(85)80034-2.

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26

Neofytidis, Christoforos. "Branched coverings of simply connected manifolds." Topology and its Applications 178 (December 2014): 360–71. http://dx.doi.org/10.1016/j.topol.2014.10.011.

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27

Győri, E. "Covering simply connected regions by rectangles." Combinatorica 5, no. 1 (1985): 53–55. http://dx.doi.org/10.1007/bf02579442.

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28

Springer, T. A. "Twisted conjugacy in simply connected groups." Transformation Groups 11, no. 3 (2006): 539–45. http://dx.doi.org/10.1007/s00031-005-1113-6.

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29

González, María J. "Carleson measures on simply connected domains." Journal of Functional Analysis 278, no. 2 (2020): 108307. http://dx.doi.org/10.1016/j.jfa.2019.108307.

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30

Nasser, Mohamed M. S., and Matti Vuorinen. "Conformal Invariants in Simply Connected Domains." Computational Methods and Function Theory 20, no. 3-4 (2020): 747–75. http://dx.doi.org/10.1007/s40315-020-00351-8.

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AbstractThis paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.

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31

Santhanam, G. "Hypersurfaces in simply connected space forms." Proceedings Mathematical Sciences 118, no. 4 (2008): 569–72. http://dx.doi.org/10.1007/s12044-008-0044-2.

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32

Figula, Ágota, and Péter T. Nagy. "Isometry classes of simply connected nilmanifolds." Journal of Geometry and Physics 132 (October 2018): 370–81. http://dx.doi.org/10.1016/j.geomphys.2018.06.014.

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33

Barot, M., and J. A. de la Peña. "Derived tubular strongly simply connected algebras." Proceedings of the American Mathematical Society 127, no. 3 (1999): 647–55. http://dx.doi.org/10.1090/s0002-9939-99-04531-1.

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34

Eda, Katsuya. "Making spaces wild (simply-connected case)." Topology and its Applications 288 (February 2021): 107483. http://dx.doi.org/10.1016/j.topol.2020.107483.

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35

Esnault, Hélène, and Atsushi Shiho. "Convergent isocrystals on simply connected varieties." Annales de l’institut Fourier 68, no. 5 (2018): 2109–48. http://dx.doi.org/10.5802/aif.3204.

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36

Catanese, Fabrizio, and Bronislaw Wajnryb. "Diffeomorphism of simply connected algebraic surfaces." Journal of Differential Geometry 76, no. 2 (2007): 117–213. http://dx.doi.org/10.4310/jdg/1180135677.

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37

Lisca, Paolo. "On simply connected noncomplex 4-manifolds." Journal of Differential Geometry 38, no. 1 (1993): 217–24. http://dx.doi.org/10.4310/jdg/1214454101.

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38

Auckly, David, R. İnanç Baykur, Roger Casals, Sudipta Kolay, Tye Lidman, and Daniele Zuddas. "Branched covering simply connected 4-manifolds." Open Book Series 5, no. 1 (2022): 31–42. http://dx.doi.org/10.2140/obs.2022.5.31.

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39

Pak, Igor, and Jed Yang. "Tiling simply connected regions with rectangles." Journal of Combinatorial Theory, Series A 120, no. 7 (2013): 1804–16. http://dx.doi.org/10.1016/j.jcta.2013.06.008.

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40

Babenko, I. K., and I. A. Taîmanov. "On nonformal simply-connected symplectic manifolds." Siberian Mathematical Journal 41, no. 2 (2000): 204–17. http://dx.doi.org/10.1007/bf02674589.

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41

Herman, Gabor T. "Finitary 1-Simply Connected Digital Spaces." Graphical Models and Image Processing 60, no. 1 (1998): 46–56. http://dx.doi.org/10.1006/gmip.1997.0456.

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42

Fernández, Marisa, and Vicente Muñoz. "On non-formal simply connected manifolds." Topology and its Applications 135, no. 1-3 (2004): 111–17. http://dx.doi.org/10.1016/s0166-8641(03)00158-5.

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43

Thompson, Adam. "Bach flow of simply connected nilmanifolds." Advances in Geometry 24, no. 1 (2024): 127–39. http://dx.doi.org/10.1515/advgeom-2023-0032.

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Abstract The Bach flow is a fourth-order geometric flow defined on four-manifolds. For a compact manifold, it is the negative gradient flow for the L 2-norm of the Weyl curvature. In this paper, we study the Bach flow on four-dimensional simply connected nilmanifolds whose Lie algebra is indecomposable. We show that the Bach flow beginning at an arbitrary left invariant metric exists for all positive times and after rescaling converges in the pointed Cheeger–Gromov sense to an expanding Bach soliton which is non-gradient. Combining our results with previous results of Helliwell gives a complet

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44

Cao, Yang, and Zhizhong Huang. "Arithmetic purity of strong approximation for semi-simple simply connected groups." Compositio Mathematica 156, no. 12 (2020): 2628–49. http://dx.doi.org/10.1112/s0010437x20007617.

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In this article we establish the arithmetic purity of strong approximation for certain semisimple simply connected linear algebraic groups and their homogeneous spaces over a number field $k$. For instance, for any such group $G$ and for any open subset $U$ of $G$ with ${\mathrm {codim}}(G\setminus U, G)\geqslant 2$, we prove that (i) if $G$ is $k$-simple and $k$-isotropic, then $U$ satisfies strong approximation off any finite number of places; and (ii) if $G$ is the spin group of a non-degenerate quadratic form which is not compact over archimedean places, then $U$ satisfies strong approxima

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45

Iwase, Norio, Mamoru Mimura, and Tetsu Nishimoto. "Lusternik–Schnirelmann category of non-simply connected compact simple Lie groups." Topology and its Applications 150, no. 1-3 (2005): 111–23. http://dx.doi.org/10.1016/j.topol.2004.11.006.

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46

Matumoto, Takao, та Tetsu Nishimoto. "Lusternik–Schnirelmann π1-category of non-simply connected simple Lie groups". Topology and its Applications 154, № 9 (2007): 1931–41. http://dx.doi.org/10.1016/j.topol.2007.02.001.

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47

Krepski, Derek. "Basic equivariant gerbes on non-simply connected compact simple Lie groups." Journal of Geometry and Physics 133 (November 2018): 30–41. http://dx.doi.org/10.1016/j.geomphys.2018.06.016.

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48

Liczberski, Piotr, and Victor V. Starkov. "On locally biholomorphic mappings from multi-connected onto simply connected domains." Annales Polonici Mathematici 85, no. 2 (2005): 135–43. http://dx.doi.org/10.4064/ap85-2-3.

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49

Kono, Akira, and Kazumuto Kozima. "The mod 2 homology of the space of loops on the exceptional Lie group." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 112, no. 3-4 (1989): 187–202. http://dx.doi.org/10.1017/s0308210500018667.

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SynopsisThe Hopf algebra structure of H*(ΩG, F2) and the action of the dual Steenrod algebra are completely and explicitly determined when G isone of the connected, simply connected, exceptional, simple Lie groups. The approach is homological, using connected coverings and spectral sequences.

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50

Madhuri, V., Omar Bazighifan, Ali Hasan Ali, and A. El-Mesady. "On Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy." Journal of Function Spaces 2022 (April 28, 2022): 1–6. http://dx.doi.org/10.1155/2022/9926963.

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In this paper, the notions of fuzzy F ∗ -simply connected spaces and fuzzy F ∗ -structure homeomorphisms are introduced, and further fuzzy F ∗ -structure homeomorphism between fuzzy F ∗ -path-connected spaces are studied. Also, it is shown that every fuzzy F ∗ -structure subspace of fuzzy F ∗ -simply connected space is fuzzy F ∗ -simply connected subspace. Further, the concepts of fuzzy F ∗ -contractible spaces and fuzzy F ∗ -retracts are introduced, and it is proved that every fuzzy F ∗ -contractible space is fuzzy F ∗ -simply connected.

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