Results 11 to 20 of about 5,878 (86)
On epimorphisms and monomorphisms in the homotopy category of CW complexes
Japanese journal of mathematics. New series, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matumoto, Takao, Ohkawa, Tetsusuke
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On the Algebraic Classification of Module Spectra [PDF]
, 2011 Using methods developed by Franke, we obtain algebraic classification results for modules over certain symmetric ring spectra ($S$-algebras). In particular, for any symmetric ring spectrum $R$ whose graded homotopy ring $\pi_*R$ has graded global ...
Patchkoria, Irakli
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Symmetric products, duality and homological dimension of configuration spaces [PDF]
, 2008 We discuss various aspects of `braid spaces' or configuration spaces of unordered points on manifolds. First we describe how the homology of these spaces is affected by puncturing the underlying manifold, hence extending some results of Fred Cohen ...
Kallel, Sadok
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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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$C^*$-algebraic drawings of dendroidal sets
, 2019 In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
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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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On homotopy regular monomorphisms
Chinese Science Bulletin, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
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On monomorphisms in homotopy theory
Topology, 1967 A MAP h : Y ~ Z is a monomorphism in the category o f based topological spaces and based homotopy classes o f maps if, for any space X and any two maps f , g : X ~ Y, h o f ,,~ h o g imp l i e s f _ g [6; p. 168]. Let O denote the constant map with arbitrary domain and range, and suppose h is a fibre map with fibre X and inclusion e : X ~ Y; then, h o ...
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