English

Segal's multisimplicial spaces

Algebraic Topology 2015-04-14 v9

Abstract

Some sufficient conditions on a simplicial space XX guaranteeing that X1ΩXX_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 nn-fold delooping of the classifying space of a category.

Keywords

Cite

@article{arxiv.1407.3914,
  title  = {Segal's multisimplicial spaces},
  author = {Zoran Petric},
  journal= {arXiv preprint arXiv:1407.3914},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-22T05:04:15.908Z