Results 1 to 10 of about 97 (95)
Some aspects of dimension theory for topological groups
Indagationes Mathematicae, 2018 In this paper, the authors discuss dimension theory in the class of all topological groups. In the first section, they refer to the dawn of dimension theory in topology, in particular, introduce the research activities of Luitzen Egbertus Jan Brouwer (1881--1966) with Pavel Sergeyevich Alexandroff (1896--1982) and Pavel Samuilovich Urysohn (1898--1924).
A V Arhangel'Skii, J Van Mill
exaly +3 more sources
Some topological aspects of the theory of topological transformation groups [PDF]
Lecture Notes in Mathematics, 1977 exaly +2 more sources
On exceptional 't Hooft lines in 4D-Chern-Simons theory
Nuclear Physics B, 2022 We study ‘t Hooft lines and the associated L- operators in topological 4D Chern-Simons theory with gauge symmetry given by the exceptional groups E6 and E7.
Youssra Boujakhrout, El Hassan Saidi
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Computational Aspects of Group Extensions and Their Applications in Topology [PDF]
Experimental Mathematics, 2002 We describe algorithms to determine extensions of infinite polycyclic groups having certain properties. In particular, we are interested in torsion-free extensions and extensions whose Fitting subgroup has a minimal centre. Then we apply these methods in topological applications. We discuss the calculation of Betti numbers for compact manifolds, and we
Karel Dekimpe, Bettina Eick
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Charge ambiguity and splitting of monopoles
Physical Review Research, 2022 This paper focuses on topological defects, appearing in mean-field-theory treatments of physical systems such as ultracold atomic gases and gauge field theories.
Toni Annala, Mikko Möttönen
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Topological and Geometrical Properties of k-Symplectic Structures
Axioms, 2022 We study new geometrical and topological aspects of polarized k-symplectic manifolds. In addition, we study the De Rham cohomology groups of the k-symplectic group.
Essabab Said +2 more
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Topological aspects of group $C^*$-algebras [PDF]
Banach Center Publications, 2017 19 pages.
Beltita, Ingrid, Beltita, Daniel
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Topologies Generated by Two Ideals and the Corresponding j-Approximations Spaces with Applications
Journal of Mathematics, 2021 Ideal is a fundamental concept in topological spaces and plays an important role in the study of topological problems. This motivated us to use two ideals to generate different topologies to take the advantage of the two ideals at the same time.
Mona Hosny
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$a\times b=c$ in $2+1$D TQFT [PDF]
Quantum, 2021 We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$.
Matthew Buican +2 more
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A study of some aspects of topological groups [PDF]
Filomat, 2007 The aim of this paper is to find a generalization of topological groups. The concept arises out of the investigation to obtain a group structure on the set [X,Y], of homotopy classes of maps from a space X to a given space Y for all X which is natural with respect to X. We also study the generalized topological groups.
Adhikari, M. R., Rahaman, M.
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