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Scheerer, H.; Tanré, D. Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory. Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 845-862. doi: 10.4153/CJM-1998-045-4
@article{10_4153_CJM_1998_045_4,
author = {Scheerer, H. and Tanr\'e, D.},
title = {Lusternik-Schnirelmann {Category} and {Algebraic} {R-Local} {Homotopy} {Theory}},
journal = {Canadian journal of mathematics},
pages = {845--862},
year = {1998},
volume = {50},
number = {4},
doi = {10.4153/CJM-1998-045-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-045-4/}
}
TY - JOUR AU - Scheerer, H. AU - Tanré, D. TI - Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory JO - Canadian journal of mathematics PY - 1998 SP - 845 EP - 862 VL - 50 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-045-4/ DO - 10.4153/CJM-1998-045-4 ID - 10_4153_CJM_1998_045_4 ER -
%0 Journal Article %A Scheerer, H. %A Tanré, D. %T Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory %J Canadian journal of mathematics %D 1998 %P 845-862 %V 50 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-045-4/ %R 10.4153/CJM-1998-045-4 %F 10_4153_CJM_1998_045_4
[1] 1. Anick, D., R-local homotopy theory. Lecture Notes in Math. 1418, Springer-Verlag, 1990. 78–85. Google Scholar
[2] 2. Baues, H., Algebraic homotopy. Cambridge Stud. Adv. Math. 15(1983). Google Scholar
[3] 3. Doeraene, J.-P., LS-category in a model category. J. Pure Appl. Algebra 84(1993), 215–261. Google Scholar
[4] 4. Doeraene, J.-P. and Tanré, D., Axiome du cube et foncteurs de Quillen. Ann. Inst. Fourier. 45(1995), 1061–1077. Google Scholar
[5] 5. Dwyer, W. G., Tame homotopy theory. Topology 18(1979), 321–338. Google Scholar
[6] 6. Dwyer, W. G., The tame homotopy groups of a suspension. Geometric Applications in Homotopy Theory II, Proceedings, Evanston, 1977. Lecture Notes in Math. 658, Springer-Verlag, 1978. 165–168. Google Scholar
[7] 7. Félix, Y. and Halperin, S., RationalLS-category and its applications. Trans. Amer.Math. Soc. 273(1982), 1–37. Google Scholar
[8] 8. Félix, Y. and Lemaire, J.-M., On the mapping theorem for Lusternik-Schnirelmann category. Topology 24(1985), 41–43; 27(1987), 177. Google Scholar
[9] 9. Félix, Y., On the mapping theorem for Lusternik-Schnirelmann category II. Canad. J. Math. (1988), 1389–1398. Google Scholar
[10] 10. Gilbert, W. J., Some examples for weak category and conilpotency. Illinois J. Math. 12(1968), 421–432. Google Scholar
[11] 11. Hess, K., A proof of Ganea's conjecture for rational spaces. Topology 30(1991), 205–214. Google Scholar
[12] 12. Husemoller, D., Moore, J. C. and Stasheff, J., Differential homological algebra and homogeneous spaces. J. Pure Appl. Algebra 5(1974), 113–185. Google Scholar
[13] 13. James, I. M., On category in the sense of Lusternik-Schnirelmann. Topology 17(1978), 331–348. Google Scholar
[14] 14. Jessup, B., RationalLS category and a conjecture of Ganea. J. Pure Appl. Algebra 65(1990), 45–56. Google Scholar
[15] 15. Lemaire, J.-M. and Sigrist, F., Sur les invariants d’homotopie rationnelle liés à laLS-catégorie.Comment. Math. Helv. 56(1981), 103–122. Google Scholar
[16] 16. Lusternik, L. and Schnirelmann, L., Méthodes topologiques dans les problèmes variationnels. Hermann, Paris, 1934. Google Scholar
[17] 17. Scheerer, H. and Tanré, D., R-local homotopy theory. Bull. London Math. Soc. 22(1990), 591–598. Google Scholar
[18] 18. Scheerer, H., The Milnor-Moore theorem in tame homotopy theory. Manuscripta Math. 70(1991), 227–246. Google Scholar
[19] 19. Scheerer, H., Exploring W. G. Dwyer's tame homotopy theory. Publ. Matemàtiques 35(1991), 375–402. Google Scholar
20., Homotopie modérée et tempérée avec les coalgèbres. Applications aux espaces fonctionnels. Arch.Math. 59(1992), 130–145. Google Scholar
21., Fibrations àla Ganea. Bull. Soc. Math. Belg. 4(1997), 333–353. Google Scholar
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