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math.AT2014
Infinitesimal and -algebras, finite spaces, and quasi-symmetric functions
Loïc Foissy, Claudia Malvenuto, Frédéric Patras
Finite topological spaces are in bijective correspondence with preorders on finite sets. We undertake their study using combinatorial tools that have been developed to investigate…
math.AT2001
Cochain algebras of mapping spaces and finite group actions
Frederic Patras, Jean-Claude Thomas
The purpose of the present article is threefold. First of all, we rebuild the whole theory of cosimplicial models of mapping spaces by using systematically Kan adjunction technique…