Results 61 to 70 of about 1,060 (227)
Homotopy theory of Moore flows (II)
Extracta Mathematicae, 2021 This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
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Finitely presentable objects in ${\rm(}Cb\text{-}{\bf Sets}{\rm)}_{_{\rm fs}}$ [PDF]
Categories and General Algebraic Structures with ApplicationsPitts generalized nominal sets to finitely supported $Cb$-sets by utilizing the monoid $Cb$ of name substitutions instead of the monoid of finitary permutations over names.
Mahdieh Haddadi +2 more
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Erratum to "Homotopy in Functor Categories" [PDF]
Transactions of the American Mathematical Society, 1983 J*LanjJ*X J*LanJA = C o (JOP X J) cA ?J*X kJ*9 J*X J*X is a 2-cofibration. Since J* is a left adjoint, the lower square is a pushout. Since (J*eX)71J*X = 1, the conclusion follows in routine fashion. The additional hypothesis asks to be characterized as the assertion that C' C C is a cofibered subcategory. There have been other uses of the adjective in
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Homotopy representations over the orbit category [PDF]
Homology, Homotopy and Applications, 2014 Let G be a finite group. The unit sphere in a finite-dimensional orthogonal G-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue, and establish its basic properties including the Borel-Smith conditions and realization by finite G-CW-complexes.
Hambleton, I., Yalcin, E.
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A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
A note on connectedness in cartesian closed categories
International Journal of Mathematics and Mathematical Sciences, 1997 Primaxily working in the category of limit spaces and continuous maps we suggest a new concept of connectivity with application in all categories where function space objects satisfy natural exponential laws.
Reino Vainio
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Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, Volume 13, Issue 2, 9 January 2026.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
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Homotopy equivalences between p-subgroup categories [PDF]
Journal of Pure and Applied Algebra, 2015 Let p be a prime number and G a finite group of order divisible by p. Quillen showed that the Brown poset of nonidentity p-subgroups of G is homotopy equivalent to its subposet of nonidentity elementary abelian subgroups. We show here that a similar statement holds for the fusion category of nonidentity p-subgroups of G. Other categories of p-subgroups
Gelvin, Matthew Justin Karcher +1 more
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Paradoxical Topological Soliton Lattice in Anisotropic Frustrated Chiral Magnets
Advanced Science, Volume 13, Issue 5, 27 January 2026.The article describes the discovery of a stable skyrmion‐antiskyrmion lattice (S‐AL) in anisotropic frustrated chiral magnets. This lattice has a net‐zero topological charge due to a balanced population of skyrmions and antiskyrmions. This is a paradoxical finding since these particles normally annihilate each other.
Sayan Banik +2 more
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Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
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