Results 51 to 60 of about 3,075 (93)
, 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
core +3 more sources
Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
europepmc +1 more source
Comonadic Coalgebras and Bousfield Localization
, 2018 For a model category, we prove that taking the category of coalgebras over a comonad commutes with left Bousfield localization in a suitable sense. Then we prove a general existence result for left-induced model structure on the category of coalgebras ...
White, David, Yau, Donald
core
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 ) →
openaire +1 more source
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 ...
openaire +3 more sources
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
openaire +1 more source
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.
openaire +1 more source
, 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.
openaire +2 more sources
Augmented Homotopical Algebraic Geometry
, 2017 We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Balchin, Scott
core
Cofibrations in Homotopy Theory
, 2006 Ams-latex, 158 pages. Corrections to Thm. 6.4.1 and Def.
openaire +2 more sources