A topos associated with a colored category

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:156

Article

Kuribayashi, Katsuhiko¹  Numata, Yasuhiude¹ 

[1] Shinshu Univ, Fac Sci, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

关键词: Schemoid;    Topos;    Cohomology;    Spectral sequence;   

DOI  :  10.1016/j.jcta.2017.12.002

来源: Elsevier

【 摘 要 】

We show that a functor category whose domain is a colored category is a topos. The topos structure enables us to introduce cohomology of colored categories including quasi-schemoids. If the given colored category arises from an association scheme, then the cohomology coincides with the group cohomology of the factor scheme by the thin residue. Moreover, it is shown that the cohomology of a colored category relates to the standard representation of an association scheme via the Leray spectral sequence. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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