2021
DOI: 10.1007/s10485-021-09635-z
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Homotopies of Crossed Modules of R-Algebroids

Abstract: In this work, given two crossed modules M = (μ : M → A) and N = (η : N → B) of Ralgebroids and a crossed module morphism f : M → N , we introduce an f-derivation as an ordered pair Hwhich are subject to satisfy certain axioms and show that f and H determine a crossed module morphism g : M → N . Then calling such a pair (H , f ) a homotopy from f to g we prove that there exists a groupoid structure of which objects are crossed module morphisms from M to N and morphisms are homotopies between crossed module morp… Show more

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