Simplicial cohomology with coefficients in symmetric categorical groups
type: Item
instance of: scholarly article
title: Simplicial cohomology with coefficients in symmetric categorical groups
zbMATH Open document ID: 1078.18009
author: Pilar Carrasco
author: J. Martínez-Moreno
published in: Applied Categorical Structures
publication date: 2005-04-07T00:00:00Z
review text: The authors introduce and study a cohomology theory for simplicial sets with coefficients in symmetric categorical groups. To any symmetric categorical group a sequence of simplicial sets is associated, allowing to give a representation theorem for this cohomology. An adjunction result is proved, and as an application it is shown how symmetric categorical groups model the homotopy types of certain spaces.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 18G60
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 18G30
zbMATH DE Number: 2153867
zbMATH Keywords: categorical group
zbMATH Keywords: simplicial set
zbMATH Keywords: cohomology
zbMATH Keywords: nerve
zbMATH Keywords: homotopy classes
MaRDI profile type: Publication
full work available at URL: b:apcs.0000031088.27644.ed
OpenAlex ID: W2041868684
DOI: 10.1023/B:APCS.0000031088.27644.ED
description: scientific article; zbMATH DE number 2153867