Introduction to Homotopic Algebra
Part of the Springer Monographs in Mathematics book series (SMM)
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Let C be an arbitrary category, L and R two classes of morphisms in C. The class L is said to be left complementary to R (and R is said to be right complementary to L) if the following condition is satisfied: for any solid arrow commutative square with l ∈ L, r ∈ R, there exists a diagonal morphism x making both triangles commutative.
KeywordsSimplicial Group Minimal Model Homotopy Group Weak Equivalence Homotopy Category
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© Springer-Verlag Berlin Heidelberg 2003