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Segal's multisimplicial spaces
Preprint
2014-07-15
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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.