The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)
type: Item
instance of: scholarly article
title: The bigraded homotopy groups \(\pi_{i,j} X\) of a pointed simplicial space \(X\)
zbMATH Open document ID: 0860.55014
DOI: 10.1016/0022-4049(94)00102-O
published in: Journal of Pure and Applied Algebra
publication date: 1997-04-21T00:00:00Z
review text: In 1993, the authors had initiated a study of the homotopy theory of pointed simplicial spaces. In this paper they further develop this theory by introducing the `bigraded homotopy groups' of a pointed simplicial space and observe that these groups behave very much like the ordinary homotopy groups of a pointed space. These homotopy groups give a simple geometric interpretation of the filtration on the homotopy of the realization of a simplicial space provided by the usual homotopy spectral sequence.
reviewed by: Bai Kishan Dass
Mathematics Subject Classification ID: 55Q99
zbMATH DE Number: 825308
zbMATH Keywords: bigraded homotopy groups
zbMATH Keywords: homotopy theory
zbMATH Keywords: pointed simplicial spaces
zbMATH Keywords: homotopy spectral sequence
author: William Dwyer
author: D. M. Kan
author: Christopher R. Stover
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 825308