%0 Journal Article
%T On strong homotopy for quasi-schemoids
%A Katsuhiko Kuribayashi
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.1736v2