Profinite homotopy theory
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Publication:2517769
zbMATH Open1173.55008arXiv0803.4082MaRDI QIDQ2517769
Author name not available (Why is that?)
Publication date: 9 January 2009
Published in: (Search for Journal in Brave)
Abstract: We construct a model structure on simplicial profinite sets such that the homotopy groups carry a natural profinite structure. This yields a rigid profinite completion functor for spaces and pro-spaces. One motivation is the 'etale homotopy theory of schemes in which higher profinite 'etale homotopy groups fit well with the 'etale fundamental group which is always profinite. We show that the profinite 'etale topological realization functor is a good object in several respects.
Full work available at URL: https://arxiv.org/abs/0803.4082
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