Results 91 to 100 of about 10,259 (205)
Topology and Algebra of Bonded Knots and Braids
MathematicsIn this paper we present a detailed study of bonded knots and their related structures, integrating recent developments into a single framework. Bonded knots are classical knots endowed with embedded bonding arcs modeling physical or chemical bonds.
Ioannis Diamantis +2 more
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The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
On the parameterized Tate construction
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
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A stable splitting of factorisation homology of generalised surfaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
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On pseudocompact topological Brandt λ0-extensions of semitopological monoids [PDF]
, 2013 Олег Гутік, Kateryna Pavlyk
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Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
wiley +1 more source
Bipolar Theorem and Some of Its Applications in Fuzzy Quasi‐Normed Space
Journal of Mathematics, Volume 2025, Issue 1, 2025.The classical bipolar theorem plays an important role in functional analysis. This paper generalizes this theorem to fuzzy quasi‐normed spaces, which include asymmetric normed space and fuzzy normed space as special cases. First, the concept of the asymmetric polar of a subset is introduced in the fuzzy quasi‐normed space, its basic properties, such as
Jianrong Wu +3 more
wiley +1 more source
Simplicial approximation and refinement of monoidal topological complexity
Proceedings of the American Mathematical Society, 2021 This paper presents a combinatorial approximation of the monoidal topological complexity T C M \mathrm {TC}^M of a simplicial complex K K that controls reserved robot motions in K K . We introduce an upper bound S C
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What is category theory to cognitive science? Compositional representation and comparison. [PDF]
Front Psychol, 2022 Phillips S.
europepmc +1 more source