Homotopy equivalences in 2-categories

  • Howard J. Marcum
Research Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 1425)


Homotopy Category Homotopy Equivalence Projection Functor Coherence Relation Homotopy Inverse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    P.H.H. Fantham and E.J. Moore, Groupoid enriched categories and homotopy theory, Can. J. Math. 35(1983), 385–416.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    P. Gabriel and M. Zisman, Calculus of Fractions and Homotopy Theory, New York: Springer-Verlag, 1967.CrossRefzbMATHGoogle Scholar
  3. [3]
    John W. Gray, The categorical comprehension scheme, Lecture Notes in Math. 99(1969), 242–312.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    K.A. Hardie, On the category of homotopy pairs, Topology and its Applications 14(1982), 59–69.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    K.A. Hardie and A.V. Jansen, The Puppe and Nomura operators in the category of homotopy pairs, Lecture Notes in Math. 915(1982), 112–126.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    K.A. Hardie and K.H. Kamps, Homotopy over B and under A, Cahiers Top. et Géom. Diff. 28(1987), 183–196.MathSciNetzbMATHGoogle Scholar
  7. [7]
    _____, The homotopy category of homotopy factorizations, Lecture Notes in Math. 1298(1987), 162–170.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    _____, Track homotopy over a fixed space, Glasnik Mat. 24(1989), 161–179.MathSciNetzbMATHGoogle Scholar
  9. [9]
    G.M. Kelly, On clubs and doctrines, Lecture Notes in Math. 420(1974), 181–256.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    T. Müller, Zur Theorie der Würfelsätze, Dissertation, Fernuniversität Hagen, 1982.Google Scholar
  11. [11]
    R.M. Vogt, A note on homotopy equivalences, Proc. Amer. Math. Soc. 32(1972), 627–629.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Howard J. Marcum
    • 1
  1. 1.The Ohio State University at NewarkUniversity DriveNewarkUSA

Personalised recommendations