Introduction to Homotopic Algebra

Sergei I. Gelfand () and Yuri I. Manin
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Sergei I. Gelfand: American Mathematical Society
Yuri I. Manin: MPI für Mathematik

Chapter Chapter V in Methods of Homological Algebra, 1996, pp 291-356 from Springer

Abstract: Abstract Let C be an arbitrary category, L and R be two classes of morphisms in C. The class L is said to be right complementary to R (and R is said to be left complementary to L) if the following condition is satisfied: for any commutative square with l ∈ L, r ∈ R there exists a diagonal morphism x making both triangle commutative.

Keywords: Simplicial Group; Minimal Model; Commutative Diagram; Weak Equivalence; Homotopic Category (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-3-662-03220-6_5

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