Strong multihomotopy and Steenrod loop-spaces

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dc.contributor.authorGiraldo, A.
dc.contributor.authorRodríguez Sanjurjo, José Manuel
dc.date.accessioned2023-06-20T17:03:10Z
dc.date.available2023-06-20T17:03:10Z
dc.date.issued1995-07
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17034
dc.identifier.doi10.2969/jmsj/04730475
dc.identifier.issn0025-5645
dc.identifier.officialurlhttp://projecteuclid.org/euclid.jmsj/1226598673
dc.identifier.relatedurlhttp://projecteuclid.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57691
dc.issue.number3
dc.journal.titleJournal of the mathematical society of japan
dc.language.isoeng
dc.page.final489
dc.page.initial475
dc.publisherMath Soc Japan
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.cdu515.1
dc.subject.ucmGeometría
dc.subject.ucmTopología
dc.subject.unesco1204 Geometría
dc.subject.unesco1210 Topología
dc.titleStrong multihomotopy and Steenrod loop-spaces
dc.typejournal article
dc.volume.number47
dcterms.referencesF. 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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