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Journal articles on the topic 'Embedding theorem'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

SUZUKI, Hideyuki. "Takens' Embedding Theorem." Journal of Japan Society for Fuzzy Theory and Systems 10, no. 4 (1998): 662–66. http://dx.doi.org/10.3156/jfuzzy.10.4_82.

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2

Chernyavskaya, N. A., and L. A. Shuster. "An embedding theorem." Proceedings of the American Mathematical Society 141, no. 9 (2013): 3213–21. http://dx.doi.org/10.1090/s0002-9939-2013-11805-8.

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3

Richter, William. "Poincar� embedding theorem." Duke Mathematical Journal 88, no. 3 (1997): 435–47. http://dx.doi.org/10.1215/s0012-7094-97-08818-9.

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4

Ramazanov, M. D. "General Embedding Theorem." Doklady Mathematics 98, no. 1 (2018): 353–56. http://dx.doi.org/10.1134/s1064562418050162.

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5

Lidsey, James E., Reza Tavakol, and Carlos Romero. "Campbell's Embedding Theorem." Modern Physics Letters A 12, no. 31 (1997): 2319–23. http://dx.doi.org/10.1142/s0217732397002399.

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A little known embedding theorem due to Campbell1 is discussed and employed to establish the local embedding of four-dimensional gravitational and electromagnetic plane waves in five-dimensional Ricci-flat spaces. In general, this theorem can be employed as a way of relating n-dimensional gravity to (n+1)-dimensional vacuum theories.

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6

Coykendall, Jim, and Brenda Johnson Mammenga. "An embedding theorem." Journal of Algebra 325, no. 1 (2011): 177–85. http://dx.doi.org/10.1016/j.jalgebra.2010.08.026.

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7

Bataka, Ky T., and Yaogan Mensah. "The Rellich-Kondrachov Theorem for Gelfand Pairs Over Hypergroups." European Journal of Mathematical Analysis 5 (January 13, 2025): 3. https://doi.org/10.28924/ada/ma.5.3.

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Embedding results play important rôles in mathematical analysis. This paper addresses some embedding theorems in the context of Sobolev spaces theory on Gelfand pairs over hypergroups. Mainly, the analogue of the Rellich-Kondrachov theorem is proved.

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8

Minemyer, Barry. "Isometric embeddings of polyhedra into Euclidean space." Journal of Topology and Analysis 07, no. 04 (2015): 677–92. http://dx.doi.org/10.1142/s179352531550020x.

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In this paper we consider piecewise linear (pl) isometric embeddings of Euclidean polyhedra into Euclidean space. A Euclidean polyhedron is just a metric space [Formula: see text] which admits a triangulation [Formula: see text] such that each n-dimensional simplex of [Formula: see text] is affinely isometric to a simplex in 𝔼n. We prove that any 1-Lipschitz map from an n-dimensional Euclidean polyhedron [Formula: see text] into 𝔼3n is ϵ-close to a pl isometric embedding for any ϵ > 0. If we remove the condition that the map be pl, then any 1-Lipschitz map into 𝔼2n + 1 can be approximated b

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9

Tanaka, Hitoshi. "The trilinear embedding theorem." Studia Mathematica 227, no. 3 (2015): 239–48. http://dx.doi.org/10.4064/sm227-3-3.

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10

NOAKES, LYLE. "THE TAKENS EMBEDDING THEOREM." International Journal of Bifurcation and Chaos 01, no. 04 (1991): 867–72. http://dx.doi.org/10.1142/s0218127491000634.

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In his paper [Takens, 1981] on strange attractors and turbulence, Floris Takens proves a theorem giving conditions under which a discrete-time dynamical system can be reconstructed from scalar-valued partial measurements of internal states. We discuss Takens' theorem in terms suitable for a general audience, and give an alternative and more detailed proof of this important result, making use of two basic facts. The first is the Whitney embedding theorem, which we use in an alternative to Takens' original argument away from periodic points of small periods. Near the periodic points we adapt a p

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11

Mendelson, Shahar, and Nicole Tomczak-Jaegermann. "A subgaussian embedding theorem." Israel Journal of Mathematics 164, no. 1 (2008): 349–64. http://dx.doi.org/10.1007/s11856-008-0034-1.

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12

HAUSEN, JÜRGEN. "ON WłODARCZYK'S EMBEDDING THEOREM." International Journal of Mathematics 11, no. 06 (2000): 811–36. http://dx.doi.org/10.1142/s0129167x00000386.

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We prove the following version of Włodarczyk's Embedding Theorem: Every normal complex algebraic [Formula: see text]-variety Y admits an equivariant closed embedding into a toric prevariety X on which [Formula: see text] acts as a one-parameter-subgroup of the big torus T⊂X. If Y is ℚ-factorial, then X may be chosen to be simplicial and of affine intersection.

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13

Thomas, Simon. "The Friedman embedding theorem." Journal of Algebra 332, no. 1 (2011): 322–33. http://dx.doi.org/10.1016/j.jalgebra.2011.02.033.

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14

Knight, Julia F., Sara Miller, and M. Vanden Boom. "Turing computable embeddings." Journal of Symbolic Logic 72, no. 3 (2007): 901–18. http://dx.doi.org/10.2178/jsl/1191333847.

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AbstractIn [3]. two different effective versions of Borel embedding are defined. The first, called computable embedding, is based on uniform enumeration reducibility. while the second, called Turing computable embedding, is based on uniform Turing reducibility. While [3] focused mainly on computable embeddings, the present paper considers Turing computable embeddings. Although the two notions are not equivalent, we can show that they behave alike on the mathematically interesting classes chosen for investigation in [3]. We give a “Pull-back Theorem”, saying that if Ф is a Turing computable emb

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15

ROMERO, C. "THE EMBEDDING OF THE SPACETIME IN FIVE DIMENSIONS." International Journal of Modern Physics A 17, no. 29 (2002): 4287–95. http://dx.doi.org/10.1142/s0217751x02013332.

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We briefly review the problem of embedding the spacetime in five dimensions and discuss the geometrical structure of a non-compactified version of Kaluza-Klein theory, known as induced-matter theory. We also highlight the importance of the embedding theorems of differential geometry in the context of embedding theories and present new results which may be considered as extensions of the Campbell-Magaard theorem.

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16

Catanese, Fabrizio, Marco Franciosi, Klaus Hulek, and Miles Reid. "Embeddings of curves and surfaces." Nagoya Mathematical Journal 154 (1999): 185–220. http://dx.doi.org/10.1017/s0027763000025381.

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AbstractWe prove a general embedding theorem for Cohen-Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H1(2KX) = 0.

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17

MacDonald, John, and Laura Scull. "Amalgamations of Categories." Canadian Mathematical Bulletin 52, no. 2 (2009): 273–84. http://dx.doi.org/10.4153/cmb-2009-030-5.

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AbstractWe consider the pushout of embedding functors in Cat, the category of small categories. We show that if the embedding functors satisfy a 3-for-2 property, then the induced functors to the pushout category are also embeddings. The result follows from the connectedness of certain associated slice categories. The condition is motivated by a similar result for maps of semigroups. We show that our theorem can be applied to groupoids and to inclusions of full subcategories. We also give an example to show that the theorem does not hold when the property only holds for one of the inclusion fu

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18

FRE’, P., F. GLIOZZI, and A. PIRAS. "IMPROVED FORMULATION OF GNO FERMIONIZATION THEOREM." Modern Physics Letters A 04, no. 11 (1989): 1013–25. http://dx.doi.org/10.1142/s0217732389001180.

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It is pointed out that in the Kac-Moody algebras fulfilling the fermionization criterion of Goddard, Nahm and Olive and having a non-minimal value of the central charge k, only a proper subset of the allowed unitary highest weight representations can actually be encoded in a free fermion theory. These truly fermionizable representations are selected by a very specific non-regular embedding of the fermionizable Kac-Moody algebra into the lowest level SO (N F ) Kac-Moody algebra, N F being both the number of fermions and the dimension of the GNO symmetric space. This embedding is a particular ca

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19

Suzuki, Akira. "No elementary embedding from v into v is definable from parameters." Journal of Symbolic Logic 64, no. 4 (1999): 1591–94. http://dx.doi.org/10.2307/2586799.

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In 1970, Kenneth Kunen showed that there is no non-trivial elementary embedding of the universe V into itself [2] using the axiom of choice. Kunen remarked in his paper that the result can be formalized in Morse-Kelley theory of sets and classes. In this paper, we will work within ZF, Zermelo-Fraenkel axioms, and deal with embeddings definable with a formula and a parameter.In ZF, a “class” is usually synonymous with “property”, that is a class definable with a parameter, C = {x: φ(x,p)}, where φ is a formula in the language [∈}. Using this convention, let j be a class. Then “j is an elementar

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20

Tanaka, Hitoshi. "The n Linear Embedding Theorem." Potential Analysis 44, no. 4 (2015): 793–809. http://dx.doi.org/10.1007/s11118-015-9531-0.

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21

SOMA, TERUHIKO. "SYMMETRIES OF MINIMUM GRAPHS IN THE 3-SPHERE." Journal of Knot Theory and Its Ramifications 07, no. 05 (1998): 651–57. http://dx.doi.org/10.1142/s0218216598000346.

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In this paper, a new equivalence relation, weak isotopy, on spatial graphs will be introduced. By using a rearrangement theorem (Theorem 1), it is shown that, for any spatial embedding Γ of a connected graph, the weak isotopy class [Γ] w.i. contains a unique minimum element Γ min up to ambient isotopy. We will see that this minimum element plays an important role in investigating symmetries of embeddings in [Γ] w.i. .

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22

Gorbunov, Konstantin, and Vassily Lyubetsky. "Constructing an Evolutionary Tree and Path–Cycle Graph Evolution along It." Mathematics 11, no. 9 (2023): 2024. http://dx.doi.org/10.3390/math11092024.

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The paper solves the problem of constructing an evolutionary tree and the evolution of structures along it. This problem has long been posed and extensively researched; it is formulated and discussed below. As a result, we construct an exact cubic-time algorithm which outputs a tree with the minimum cost of embedding into it and of embedding it into a given network (Theorem 1). We construct an algorithm that outputs a minimum embedding of a tree into a network, taking into account incomplete linear sorting; the algorithm depends linearly on the number of nodes in the network and is exact if th

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23

Golubov, Boris I., and Sergey S. Volosivets. "On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms." gmj 16, no. 3 (2009): 533–46. http://dx.doi.org/10.1515/gmj.2009.533.

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Abstract Analogues of two Hardy–Littlewood theorems are proved for a multiplicative Fourier transform. A Szasz type condition for a multiplicative Fourier transform is given and its nonimprovability is proved. Besides, an analogue of Ul'yanov's theorem on the uniform convergence of a trigonometric series and an analogue of Konyuškov–Stechkin's embedding theorem are obtained by means of a Nikol'skii type inequality of various metrics.

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24

WEINBERGER, ARTHUR. "REDUCING FUZZY ALGEBRA TO CLASSICAL ALGEBRA." New Mathematics and Natural Computation 01, no. 01 (2005): 27–64. http://dx.doi.org/10.1142/s1793005705000020.

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This paper presents three main ideas. They are the Metatheorem, the lattice embedding for sets, and the lattice embedding for algebras. The Metatheorem allows you to convert existing theorems about classical subsets into corresponding theorem about fuzzy subsets. The concept of a fuzzyfiable operation on a powerset is defined. The main result states that any implication or identity which can be stated using fuzzyfiable operations is true about fuzzy subsets if and only if it is true about classical subsets. The lattice embedding theorem for sets shows that for any set X, there is a set Y such

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25

Pan, Xiao Li, Li Hua Mu, and Hui Chen. "Differentiability of the Energy Functional of a Class of Quasi-Linear Elliptic." Applied Mechanics and Materials 484-485 (January 2014): 1033–37. http://dx.doi.org/10.4028/www.scientific.net/amm.484-485.1033.

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To study the differentiability of a class of quasi-linear elliptic equations energy functional by using the embedding theorems and some other properties of generalized Sobolev spaces. According to the variation principle the energy functional of equations is expressed in some appropriate generalized Sobolev spaces, the various parts of differentiability of the energy functional of equations are discussed under certain conditions. Using Lebesgue dominated convergence theorem and embedding theorem, the energy functional of equations is proved. Finally, the overall differentiability is proved. Th

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26

Liem, Vo Thanh, and Gerard A. Venema. "On the Asphericity of Knot Complements." Canadian Journal of Mathematics 45, no. 2 (1993): 340–56. http://dx.doi.org/10.4153/cjm-1993-016-5.

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AbstractTwo examples of topological embeddings of S2 in S4 are constructed. The first has the unusual property that the fundamental group of the complement is isomorphic to the integers while the second homotopy group of the complement is nontrivial. The second example is a non-locally flat embedding whose complement exhibits this property locally.Two theorems are proved. The first answers the question of just when good π1 implies the vanishing of the higher homotopy groups for knot complements in S4. The second theorem characterizes local flatness for 2-spheres in S4 in terms of a local π1 co

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27

Begga, Ahmed, Francisco Escolano Ruiz, and Miguel Ángel Lozano. "Edge-Centric Embeddings of Digraphs: Properties and Stability Under Sparsification." Entropy 27, no. 3 (2025): 304. https://doi.org/10.3390/e27030304.

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In this paper, we define and characterize the embedding of edges and higher-order entities in directed graphs (digraphs) and relate these embeddings to those of nodes. Our edge-centric approach consists of the following: (a) Embedding line digraphs (or their iterated versions); (b) Exploiting the rank properties of these embeddings to show that edge/path similarity can be posed as a linear combination of node similarities; (c) Solving scalability issues through digraph sparsification; (d) Evaluating the performance of these embeddings for classification and clustering. We commence by identifyi

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28

Wan, Hai, Anping He, Zhiyang You, and Xibin Zhao. "Formal Proof of a Machine Closed Theorem in Coq." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/892832.

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The paper presents a formal proof of a machine closed theorem of TLA+in the theorem proving system Coq. A shallow embedding scheme is employed for the proof which is independent of concrete syntax. Fundamental concepts need to state that the machine closed theorems are addressed in the proof platform. A useful proof pattern of constructing a trace with desired properties is devised. A number of Coq reusable libraries are established.

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29

Hytönen, Tuomas, and Mikko Kemppainen. "On the relation of Carleson's embedding and the maximal theorem in the context of Banach space geometry." MATHEMATICA SCANDINAVICA 109, no. 2 (2011): 269. http://dx.doi.org/10.7146/math.scand.a-15189.

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Hytönen, McIntosh and Portal (J. Funct. Anal., 2008) proved two vector-valued generalizations of the classical Carleson embedding theorem, both of them requiring the boundedness of a new vector-valued maximal operator, and the other one also the type $p$ property of the underlying Banach space as an assumption. We show that these conditions are also necessary for the respective embedding theorems, thereby obtaining new equivalences between analytic and geometric properties of Banach spaces.

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30

VU, VAN H. "On a Theorem of Ganter." Combinatorics, Probability and Computing 6, no. 2 (1997): 247–54. http://dx.doi.org/10.1017/s0963548397002952.

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We prove a generalization of a theorem of Ganter concerning the embedding of partial Steiner systems into Steiner systems. As an application we discuss a further version of the problem of Rosenfeld on embedding graphs into strongly regular graphs.

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31

STRONKOWSKI, M. M. "EMBEDDING ENTROPIC ALGEBRAS INTO SEMIMODULES AND MODULES." International Journal of Algebra and Computation 19, no. 08 (2009): 1025–47. http://dx.doi.org/10.1142/s0218196709005470.

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An algebra is entropic if its basic operations are homomorphisms. The paper is focused on representations of such algebras. We prove the following theorem: An entropic algebra without constant basic operations which satisfies so called Szendrei identities and such that all its basic operations of arity at least two are surjective is a subreduct of a semimodule over a commutative semiring. Our theorem is a straightforward generalization of Ježek's and Kepka's theorem for groupoids. As a consequence we obtain that a mode (entropic and idempotent algebra) is a subreduct of a semimodule over a com

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32

Zhao-Lin, Hu, and Tang Yu-Hong. "Embedding Theorem and BZ Reaction Mechanics." Acta Physico-Chimica Sinica 11, no. 12 (1995): 1057–61. http://dx.doi.org/10.3866/pku.whxb19951201.

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33

Nagy, Attila. "On an embedding theorem of Cohn." International Journal of Algebra 16, no. 1 (2022): 1–8. http://dx.doi.org/10.12988/ija.2022.91647.

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34

Watanabe *, Shuji. "An embedding theorem of Sobolev type." Integral Transforms and Special Functions 15, no. 4 (2004): 369–74. http://dx.doi.org/10.1080/1065246042000210403a.

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35

Chinburg, Ted, and Eduardo Friedman. "An Embedding Theorem for Quaternion Algebras." Journal of the London Mathematical Society 60, no. 1 (1999): 33–44. http://dx.doi.org/10.1112/s0024610799007607.

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36

Guo, Xuejun, and Hourong Qin. "An embedding theorem for Eichler orders." Journal of Number Theory 107, no. 2 (2004): 207–14. http://dx.doi.org/10.1016/j.jnt.2004.04.008.

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37

Zhang, Yongzheng, and Guangyu Shen. "Embedding theorem ofZ-graded Lie superalgebras." Science in China Series A: Mathematics 41, no. 10 (1998): 1009–16. http://dx.doi.org/10.1007/bf02871834.

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38

Garner, Richard. "An embedding theorem for tangent categories." Advances in Mathematics 323 (January 2018): 668–87. http://dx.doi.org/10.1016/j.aim.2017.10.039.

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39

Bajer, Anetta, and Jon F. Carlson. "An embedding theorem for Lie algebras." Proceedings of the American Mathematical Society 127, no. 12 (1999): 3445–49. http://dx.doi.org/10.1090/s0002-9939-99-04865-0.

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40

Yongzheng, Zhang, and Shen Guangyu. "Embedding theorem of filtered lie superalgebras." Acta Mathematica Scientia 21, no. 3 (2001): 401–11. http://dx.doi.org/10.1016/s0252-9602(17)30427-7.

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41

Chikhladze, Dimitri. "Barr’s embedding theorem for enriched categories." Journal of Pure and Applied Algebra 215, no. 9 (2011): 2148–53. http://dx.doi.org/10.1016/j.jpaa.2010.12.004.

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42

Chattopadhyay, K. C., D. P. Ghosh, and Sushama Guin. "An Embedding Theorem and Its Consequences." Rocky Mountain Journal of Mathematics 22, no. 4 (1992): 1277–82. http://dx.doi.org/10.1216/rmjm/1181072654.

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43

Lidsey, James E., Carlos Romero, Reza Tavakol, and Steve Rippl. "On applications of Campbell's embedding theorem." Classical and Quantum Gravity 14, no. 4 (1997): 865–79. http://dx.doi.org/10.1088/0264-9381/14/4/005.

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44

Greco, Luigi, and Roberta Schiattarella. "An embedding theorem for BV-functions." Communications in Contemporary Mathematics 22, no. 04 (2019): 1950032. http://dx.doi.org/10.1142/s0219199719500329.

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45

Ni, Lei, and Fangyang Zheng. "Positivity and the Kodaira embedding theorem." Geometry & Topology 26, no. 6 (2022): 2491–505. http://dx.doi.org/10.2140/gt.2022.26.2491.

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46

Friz, Peter, and Nicolas Victoir. "A variation embedding theorem and applications." Journal of Functional Analysis 239, no. 2 (2006): 631–37. http://dx.doi.org/10.1016/j.jfa.2005.12.021.

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47

Netzer, Tim, and Andreas Thom. "Tracial algebras and an embedding theorem." Journal of Functional Analysis 259, no. 11 (2010): 2939–60. http://dx.doi.org/10.1016/j.jfa.2010.08.010.

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48

Anh, P. N. "An Embedding Theorem for Abelian Categories." Journal of Algebra 167, no. 3 (1994): 627–33. http://dx.doi.org/10.1006/jabr.1994.1205.

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49

Puusemp, P. "AN EMBEDDING THEOREM FOR FINITE GROUPS." Proceedings of the Estonian Academy of Sciences. Physics. Mathematics 46, no. 4 (1997): 235. http://dx.doi.org/10.3176/phys.math.1997.4.01.

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50

Mansfield, R., H. Movahedi-Lankarani, and R. Wells. "Smooth Finite Dimensional Embeddings." Canadian Journal of Mathematics 51, no. 3 (1999): 585–615. http://dx.doi.org/10.4153/cjm-1999-027-1.

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AbstractWe give necessary and sufficient conditions for a norm-compact subset of a Hilbert space to admit a C1 embedding into a finite dimensional Euclidean space. Using quasibundles, we prove a structure theorem saying that the stratum of n-dimensional points is contained in an n-dimensional C1 submanifold of the ambient Hilbert space. This work sharpens and extends earlier results of G. Glaeser on paratingents. As byproducts we obtain smoothing theorems for compact subsets of Hilbert space and disjunction theorems for locally compact subsets of Euclidean space.

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