Publications de l'Institut Mathématique, Nouvelle SérieVol. 97(111), pp. 11–21 (2015)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 97(111), pp. 11–21 (2015) |
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SEGAL'S MULTISIMPLICIAL SPACESZoran PetricMathematical Institute SANU, Belgrade, SerbiaAbstract: Some sufficient conditions on a simplicial space $X\!:\Delta^{op}\to\Top$ guaranteeing that $X_1\simeq \Omega|X|$ 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: simplicial space; loop space; lax functor Classification (MSC2000): 18G30; 55P35; 55P48 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.
© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
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