Results 41 to 50 of about 3,365 (87)
On the concept of Approximate Cofibration [PDF]
In this article we study an important concept in the theory of fibration and cofibration, namely approximate cofibration (A-cofibration), which is the dual of the concept of approximate fibrationnbsp [5, 10, 13], we give some examples.
Gouda, Y. G. (Y), Nasser, A. (Ali)
core
What is an equivalence in a higher category?
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 1-58, January 2024.Abstract The purpose of this survey is to present in a uniform way the notion of equivalence between strict n$n$‐categories or (∞,n)$(\infty ,n)$‐categories, and inside a strict (n+1)$(n+1)$‐category or (∞,n+1)$(\infty ,n+1)$‐category.
Viktoriya Ozornova, Martina Rovelli
wiley +1 more source
Frames in cofibration categories [PDF]
Journal of Homotopy and Related Structures, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
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, 1998 The long hunt for a symmetric monoidal category of spectra finally ended in success with the simultaneous discovery of the third author's discovery of symmetric spectra and the Elmendorf-Kriz-Mandell-May category of S-modules. In this paper we define and
Hovey, Mark +2 more
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Two results relating nilpotent spaces and cofibrations [PDF]
Proceedings of the American Mathematical Society, 1978 We first prove a Blakers-Massey Theorem for nilpotent spaces: If (X, A) is an n-connected, n ⩾ 1 n \geqslant 1 , pair of nilpotent spaces, then under suitable conditions the map π ∗ ( X , A ) →
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Enriched cofibration categories
, 2015 Cofibration categories are a formalization of homotopy theory useful for dealing with homotopy colimits that exist on the level of models as colimits of cofibrant diagrams. In this paper, we deal with their enriched version. Our main result claims that the category $[\mathcal{C},\mathcal{M}]$ of enriched diagrams equipped with the projective structure ...
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On fibrations that are cofibrations
Topology and its Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Wenhuai, Zuo, Zai-si
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Cohomology of cofibred categorical groups
Journal of Pure and Applied Algebra, 1999 The paper is concerned with a certain kind of non-abelian cohomology \(\mathbb{H}^i({\mathcal B},\mathbb{G})\), \(0\leq i\leq 2\), defined for a small category \({\mathcal B}\) with coefficients in a \({\mathcal B}\)-(cofibred) categorical group \(\mathbb{G}\), i.e., with coefficients taken as bundles of categorical groups, instead of bundles of ...
Cegarra, A.M., Fernández, L.
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, 2006 For a cofibrantly generated Quillen model category, we show that the cofibrant replacement functor constructed using the small object argument admits a cotriple structure. If all acyclic cofibrations are monomorphisms, the fibrant replacement functor constructed using the small object argument admits a triple structure.
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