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Strong multihomotopy and Steenrod loop-spaces

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1995-07
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Math Soc Japan
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F. W. Bauer, A shape theory with singular homology, Pacific J. Math., 64 (1976), 25-65. K. Borsuk, Theory of shape, Monografie Matematyczne, 59, Polish Scientific Publishers, Warszawa, 1975. F. W. Cathey, Strong shape theory, In Shape Theory and Geom. Top. Proc., Dubrovnik 1981, (eds. S. Mardesic and J. Segal), Lecture Notes in Math., 870, Springer- Verlag, Berlin, 1981, pp. 215-238. Z. Cerin and T. Watanabe, Borsuk fixed point theorem for multivalued maps, In: Geometric Topology and Shape Theory, (eds. S. Mardesic and J. Segal), Lecture Notes in Math., 1283, Springer-Verlag, Berlin, 1987, pp. 30-37. T. A. Ghapman, On some applications of infinite-dimensional manifolds to the theory of shape, Fund. Math., 76 (1972), 191-193. D. Christie, Net homotopy for compacta, Trans. Amer. Math. Soc., 56 (1944), 275-308. J. M. Cordier and T. Porter, Shape theory, Categorical methods of approximation, Ellis Horwood Series : Mathematics and its applications, Ellis Horwood Ltd., Chichester, 1989. J. Dydak and J. Segal, Shape theory, An introduction, Lecture Notes in Math., 688, Springer-Verlag, Berlin, 1978. J. Dydak and J. Segal, Strong shape theory, Dissertationes Math., 192 (1981), 1-42. J. Dydak and J. Segal, A list of open problems in shape theory, In Open problems in Topology, (eds. J.V. Mills and G.M. Reed), North Holland, 1990, pp. 457-467. D. A. Edwards and H. M. Hastings, Cech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Math., 542, Springer-Verlag, Berlin, 1976. H. M. Hastings, Steenrod homotopy theory, homotopy idempotents and homotopy l i mits, Topology Proc., 2 (1977), 461-476. Y. Kodama, Multivalued maps and shape, Glasnik Mat., 12 (1977), 133-142. Y. Kodama and J. Ono, On fine shape theory I, Fund. Math., 105 (1979), 29-39. Y. Kodama and J. Ono, On fine shape theory II, Fund. Math., 108 (1980), 89-98. A. Koyama, Various compact multi-retracts and shape theory, Tsukuba J. Math., 6 (1982), 319-332. S. Mardesic and J. Segal, Shape theory, Mathematical library, 26, North Holland, Amsterdam, 1982. T. Porter, Cech homotopy, J. London Math. Soc., 6 (1973), 429-436. J. B. Quigley, An exact sequence from the nth to the (n-1)th fundamental group, Fund. Math., 77 (1973), 195-210. J. M. R. Sanjurjo, An intrinsic description of shape, Trans. Amer. Math. Soc., 329 (1992), 625-636. J. M. R. Sanjurjo, Multihomotopy sets and transformations induced by shape, Quart. J. Math. Oxford (2), 42 (1991), 489-499.
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