Results 31 to 40 of about 247,964 (125)
Topological Complexity of Configuration Spaces [PDF]
, 2010 In this thesis we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem.
COSTA, ARMINDO,EMANUEL +1 more
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Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors [PDF]
, 2015 We present a self-consistent analysis of the topological superconductivity arising from the interaction between self-ordered localized magnetic moments and electrons in one-dimensional conductors in contact with a superconductor.
Simon, Pascal, Braunecker, Bernd
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Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley +1 more source
Pre A∗‐Algebras and Their Applications in Fuzzy Set Theory
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper studies Pre A∗‐algebras and their role as an algebraic foundation for fuzzy set theory. By relaxing the key Boolean axioms of distributivity and complementation, Pre A∗‐algebras provide a robust algebraic structure for reasoning with uncertainty.
Gebregziabiher Girum Gebreset +3 more
wiley +1 more source
Brouwer’s Fixed Point Theorem and Open Mapping Theorem in Hemi‐Normed Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper aims for the further development of hemi‐normed spaces, which is a proper extension of normed spaces. In this regard, we establish some fundamental results of functional analysis, including Brouwer’s theorem and Schauder’s fixed point theorem for hemi‐normed spaces.
Liaqat Ali +4 more
wiley +1 more source
Alexandrov LF‐Rough Topogenous Structures: Theory and Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.The aim of this paper is to investigate the relationships between Alexandrov LF‐rough topogenous spaces and Alexandrov LF‐rough closure (interior) spaces based on LF‐rough sets. We establish several mappings inspired by the subsethood degree of two LF‐subsets to generate Alexandrov LF‐rough topogenous order spaces.
Ahmed A. Ramadan +3 more
wiley +1 more source
, 2019 | openaire: EC/H2020/694248/EU//TOPVACThere are many topological faces of the superfluid phases of 3He. These superfluids contain various topological defects and textures.
Volovik, G. E.
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Composite Topological Objects in Topological Superfluids
, 2020 | openaire: EC/H2020/694248/EU//TOPVACThe spontaneous phase coherent precession of magnetization, discovered in 1984 by Borovik-Romanov, Bunkov, Dmitriev, and Mukharskiy [1] in collaboration with Fomin [2], became now an important experimental tool for ...
Volovik, G. E.
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Is every product system concrete?
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Topological Quantum Field Theory and the Geometric Langlands Correspondence [PDF]
, 2013 In the pioneering work of A. Kapustin and E. Witten, the geometric Langlands program of number theory was shown to be intimately related to duality of GL-twisted N=4 super Yang-Mills theory compactified on a Riemann surface. In this thesis, we generalize
Setter, Kevin Luke
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