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On strong homotopy for quasi-schemoids
Theory and applications of categories, Tome 30 (2015), pp. 1-14 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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. 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. %These considerations are the first step to develop homotopy theory for quasi-schemoids.

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Classification : 18D35, 05E30, 55U35
Keywords: Association scheme, small category, schemoids, homotopy 
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     author = {Katsuhiko Kuribayashi},
     title = {On strong homotopy for quasi-schemoids},
     journal = {Theory and applications of categories},
     pages = {1--14},
     year = {2015},
     volume = {30},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a0/}
}
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Katsuhiko Kuribayashi. On strong homotopy for quasi-schemoids. Theory and applications of categories, Tome 30 (2015), pp. 1-14. http://geodesic.mathdoc.fr/item/TAC_2015_30_a0/