Introduction to Homotopic Algebra

Part of the Springer Monographs in Mathematics book series (SMM)


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 lL, rR, there exists a diagonal morphism x making both triangles commutative.


Simplicial Group Minimal Model Homotopy Group Weak Equivalence Homotopy Category 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.American Mathematical SocietyProvidenceUSA
  2. 2.Max Planck Institute for MathematicsBonnGermany

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