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: Δop → 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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