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Numerical Invariants In Homotopical Algebra, II-Applications

Published online by Cambridge University Press:  20 November 2018

K. Varadarajan
K. Varadarajan*
Affiliation:
University of Calgary, Calgary, Alberta
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This paper deals with some applications in the results obtained in “Numerical Invariants in Homotopical Algebra” [7]. The applications are mainly concerned with the homotopy theory of modules developed by P. J. Hilton [4]. However we have to restrict the class of rings because we want to obtain a situation where the axioms of Quillen [6] hold good. This paper is organised as follows.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 4 , 01 August 1975 , pp. 935 - 960
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Cartan, H. and Eilenberg, S., Homologuai algebra (Princeton University Press, Princeton, 1956).Google Scholar
2. Ganea, T., Lusternik-Schnirelmann category and cocategory, Proc. Lond. Math. Soc. 10 (1960), 623–639.Google Scholar
3. Ganea, T., Sur quelques invariants numériques du type d'homotopie. Cahiers de topologie et géométrie différentielle. Ehresmann Seminar, Paris, 1962.Google Scholar
4. Hilton, P. J., Homotopy theory of modules and duality, Symp. Int. de Top. Alg., Mexico (1956).Google Scholar
5. Hilton, P. J., Homotopy theory and duality, (Gordon and Breach Publishers, New York, 1965).Google Scholar
6. D. G., Quillen, Homotopical algebra, Springer Lecture Notes Ifi, (1967).Google Scholar
7. Varadarajan, K., Numerical invariants in homotopical algebra-I, Can. J. Math. 27 (1975), 901–934.Google Scholar