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In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category $\C$ of groups with operations using the categorical equivalence between the categories of crossed modules and of internal categories in $\C$. Further, we characterize the derivations of crossed modules in a category $\C$ and obtain new crossed modules using regular derivations of old one.
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참고문헌 (25)
참고문헌 신청
H. F. Akiz / 2013 / Coverings of internal groupoids and crossed modules in the category of groups with operations / Georgian Math. J. 20(2):223~238
J. C. Baez / 2009 / The Classifying Space of a Topological 2-Group;Algebraic Topology / Abel Symposia :1~31
R. Brown / 1999 / Groupoids and crossed objects in algebraic topology Homol / Homotopy Appl. 1:1~78
R. Brown / 1982 / London Mathematical Society Lecture Note Series / Cambridge University Press :153~202
R. Brown / 1976 / G-groupoids, crossed modules and the fundamental groupoid of a topological group / Indagat. Math. 79(4):296~302
J. C. Baez / 2009 / The Classifying Space of a Topological 2-Group;Algebraic Topology / Abel Symposia :1~31
R. Brown / 1999 / Groupoids and crossed objects in algebraic topology Homol / Homotopy Appl. 1:1~78
R. Brown / 1982 / London Mathematical Society Lecture Note Series / Cambridge University Press :153~202
R. Brown / 1976 / G-groupoids, crossed modules and the fundamental groupoid of a topological group / Indagat. Math. 79(4):296~302
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