Results 71 to 80 of about 25,212 (237)
Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1995 Let \(G\) be a finite group. Using Bredon-Illman cohomology with equivariant local coefficients systems conditions are given on a morphism in the \(G\)-homotopy category of pointed \(G\)-complexes to be an equivalence. In the case of the trivial group a variant of a result of \textit{E. Dyer} and \textit{J. Roitberg} [Topology Appl.
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Homotopy epimorphisms in homotopy pullbacks
Topology and its Applications, 1994 The authors prove that homotopy epimorphisms are preserved under homotopy pullback. (A map \(f: X\to Y\) of pointed path-connected CW-spaces is a homotopy epimorphism, if given \(u,v: Y\to Z\), \(u\circ f\simeq v\circ f\) implies \(u\simeq v\).) The proof makes use of \textit{M. Mather}'s first cube theorem [Can. J. Math.
Hong, Lin, Wenhuai, Shen
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A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded
Computer Graphics Forum, EarlyView.Abstract Grid maps – spatially arranged small multiples – are a powerful tool to show complex geospatial data. Meulemans et al. (2020) introduced a pipeline for computing high‐quality grid maps that are shaped roughly according to their containing geographic outlines.
W. Meulemans
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Bousfield localisations along Quillen bifunctors and applications [PDF]
, 2014 We describe left and right Bousfield localisations along Quillen adjunctions of two variables. These localised model structures can be used to define Postnikov sections and homological localisations of arbitrary model categories, and to study the ...
Gutierrez, Javier, Roitzheim, Constanze
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A Cartan-Eilenberg approach to Homotopical Algebra [PDF]
, 2010 In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences.
Navarro, Vicenç (Navarro Aznar) +8 more
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Homotopy, simple homotopy and compacta
Topology, 1980 Question 1 is related to a series of questions which have been studied over the past 30 yr. Thus, in 1950 J.H.C. Whitehead proved that such a space is homotopy equivalent to an infinite dimensional CW complex. He also asked ([21, p. 1081) whether such a space necessarily had the homotopy type of a finite dimensional CW complex. In 1957, Milnor ([15], p.
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Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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Operads and Γ-homology of commutative rings [PDF]
, 2002 We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
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Beyond polyhedral homotopies [PDF]
Journal of Symbolic Computation, 2019 We present a new algorithmic framework which utilizes tropical geometry and homotopy continuation for solving systems of polynomial equations where some of the polynomials are generic elements in linear subspaces of the polynomial ring. This approach generalizes the polyhedral homotopies by Huber and Sturmfels.
Anton Leykin, Josephine Yu
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