2014/07/15 by Zoran Petric, Petric, Zoran
Mathematics · #18G30 #55P35 #55P48 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:18G30 #msc:55P35 #msc:55P48
paper · pdf · doi:10.48550/arxiv.1407.3914
12 pages
arxiv created 2015/04/11 · arxiv updated 2015/04/14
Some sufficient conditions on a simplicial space X 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.