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arXiv · 1407.3914

Segal's multisimplicial spaces

Zoran Petric
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Abstract

Some sufficient conditions on a simplicial space $X$ 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.

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Zoran Petric. 2014-07-15. Segal's multisimplicial spaces. https://arxiv.org/abs/1407.3914

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