2021-08-05T14:14:12Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000190532021-07-05T00:34:45ZON STRONG HOMOTOPY FOR QUASI-SCHEMOIDSKuribayashi, Katsuhiko103911Association schemesmall categoryschemoidshomotopyA 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. The homotopy set of self-homotopy equivalences on a quasi-schemoid is used as a homotopy invariant in the study. 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.ArticleTHEORY AND APPLICATIONS OF CATEGORIES. 30:1-14 (2015)journal articleMOUNT ALLISON UNIV2015application/pdfTHEORY AND APPLICATIONS OF CATEGORIES301141201-561Xhttps://soar-ir.repo.nii.ac.jp/record/19053/files/25610002_03.pdfeng