Numerably contractible categories
type: Item
instance of: scholarly article
title: Numerably contractible categories
zbMATH Open document ID: 1117.55019
author: Elias Gabriel Minian
published in: \(K\)-Theory
publication date: 2007-02-13T00:00:00Z
review text: The notion of numerably contractible category is developed and is used to prove, under certain conditions, that a homotopy associative \(H\)-category has a homotopy inverse, which is the main result of the paper. It might be interesting to develop notions dual to those of the paper where the byproducts will be more interesting.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 55U40
Mathematics Subject Classification ID: 55P45
zbMATH DE Number: 5125363
zbMATH Keywords: Small categories
zbMATH Keywords: \(H\)-spaces
zbMATH Keywords: CW-complexes.
MaRDI profile type: Publication
full work available at URL: s10977-006-7103-1
OpenAlex ID: W2030246474
cites work: Homotopietheorie
cites work: Partitions of unity in the theory of fibrations
cites work: Q3995201
cites work: Q4095034
cites work: Generalized cofibration categories and global actions
cites work: \({\mathcal C}at\) as a \(\Lambda\)-cofibration category
cites work: Complexes in Cat
cites work: Loop and suspension functors for small categories and stable homotopy groups
cites work: Spectra of small categories and infinite loop space machines
cites work: Categories and cohomology theories
cites work: Q3927379
DOI: 10.1007/S10977-006-7103-1
description: scientific article; zbMATH DE number 5125363