2013
DOI: 10.48550/arxiv.1310.1736
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On strong homotopy for quasi-schemoids

Abstract: A quasi-schemoid is a small category with a particular partition of the set of morphisms. We define a homotopy relation on the category of quasischemoids and study its fundamental properties. As a homotopy invariant, the homotopy set of self-homotopy equivalences on a quasi-schemoid is introduced. The main theorem enables us to deduce that the homotopy invariant for the quasi-schemoid induced by a finite group is isomorphic to the automorphism group of the given group.

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Cited by 4 publications
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