Segal's multisimplicial spaces

Authors:	Petrić, Zoran
Affiliations:	Mathematical Institute of the Serbian Academy of Sciences and Arts
Title:	Segal's multisimplicial spaces
Journal:	Publications de l'Institut Mathematique
Volume:	97
Issue:	111
First page:	11
Last page:	21
Issue Date:	1-Jan-2015
Rank:	M24
ISSN:	0350-1302
DOI:	10.2298/PIM141125001P
Abstract:	Some sufficient conditions on a simplicial space X: Δ^op → Top guaranteeing that X1 ≃ Ω\|X\| were given by Segal. We give a generalization of this result for multisimplicial spaces. This generalization is appropriate for the reduced bar construction, providing an n-fold delooping of the classifying space of a category.
Keywords:	Lax functor \| Loop space \| Simplicial space
Publisher:	Mathematical Institute of the SASA
Project:	Representations of logical structures and formal languages and their application in computing

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