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Numerical Invariants In Homotopical Algebra, II-Applications

  • K. Varadarajan (a1)

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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.

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References

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1. Cartan, H. and Eilenberg, S., Homologuai algebra (Princeton University Press, Princeton, 1956).
2. Ganea, T., Lusternik-Schnirelmann category and cocategory, Proc. Lond. Math. Soc. 10 (1960), 623639.
3. Ganea, T., Sur quelques invariants numériques du type d'homotopie. Cahiers de topologie et géométrie différentielle. Ehresmann Seminar, Paris, 1962.
4. Hilton, P. J., Homotopy theory of modules and duality, Symp. Int. de Top. Alg., Mexico (1956).
5. Hilton, P. J., Homotopy theory and duality, (Gordon and Breach Publishers, New York, 1965).
6. D. G., Quillen, Homotopical algebra, Springer Lecture Notes Ifi, (1967).
7. Varadarajan, K., Numerical invariants in homotopical algebra-I, Can. J. Math. 27 (1975), 901934.
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Numerical Invariants In Homotopical Algebra, II-Applications

  • K. Varadarajan (a1)

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