On strong homotopy for quasi-schemoids

Katsuhiko Kuribayashi

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arXiv · 1310.1736

On strong homotopy for quasi-schemoids

Katsuhiko Kuribayashi

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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 quasi-schemoids 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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BibTeX RIS

Katsuhiko Kuribayashi. 2014-10-24. On strong homotopy for quasi-schemoids. https://arxiv.org/abs/1310.1736

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