Approximate polyhedra, density and discrete maps
dc.contributor.author | Giraldo, A. | |
dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
dc.date.accessioned | 2023-06-20T17:02:25Z | |
dc.date.available | 2023-06-20T17:02:25Z | |
dc.date.issued | 1995-10 | |
dc.description.abstract | Some extension properties of maps defined on dense subsets are studied for approximate polyhedra. The latter are characterised as approximate extensors for finite maps with small oscillation. | |
dc.description.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/16966 | |
dc.identifier.doi | 10.1017/S0004972700014611 | |
dc.identifier.issn | 0004-9727 | |
dc.identifier.officialurl | http://journals.cambridge.org/abstract_S0004972700014611 | |
dc.identifier.relatedurl | http://www.cambridge.org/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/57671 | |
dc.issue.number | 2 | |
dc.journal.title | Bulletin of the Australian Mathematical Society | |
dc.language.iso | eng | |
dc.page.final | 206 | |
dc.page.initial | 201 | |
dc.publisher | Cambridge University Press | |
dc.rights.accessRights | restricted access | |
dc.subject.cdu | 514 | |
dc.subject.cdu | 515.1 | |
dc.subject.ucm | Geometría | |
dc.subject.ucm | Topología | |
dc.subject.unesco | 1204 Geometría | |
dc.subject.unesco | 1210 Topología | |
dc.title | Approximate polyhedra, density and discrete maps | |
dc.type | journal article | |
dc.volume.number | 52 | |
dcterms.references | S. Bogatyi, 'Approximative and fundamental retracts', Math. USSR-Sb. 22 (1974), 91-103. K. Borsuk, 'On some metrizations of the hyperspace of compact sets', Fund. Math. 41 (1954), 168-202. K. Borsuk, Theory of retracts, Monografie Matematyczne 44 (Polish Scientific Publishers, Warszawa, 1967). K. Borsuk, 'Concerning homotopy properties of compacta', Fund. Math. 62 (1968), 223-254. M.H.Clapp, 'On a generalization of absolute neighborhood retracts', Fund. Math. 70 (1971), 117-130. J. Dydak and J. Segal, 'Approximate polyhedra and shape theory', Topology Proc. 6 (1981), 279-286. A. Giraldo and J.M.R. Sanjurjo, 'Density and shape', (preprint). A. Granas, 'Fixed point theorems for the approximative ANRs', Bull. Acad. Polon. Sci., Ser. sci. math., astr. et phys. 16 (1968), 15-19. S. Hu, Theory of retracts (Wayne State University Press, Detroit, 1967). S. Mardesic, 'Approximate polyhedra, resolutions of maps and shape fibrations', Fund. Math. 114(1981), 53-78. S. Mardesic and J. Segal, Shape theory (North Holland, Amsterdam, 1982). H. Noguchi, 'A generalization of absolute neighborhood retracts', Kodai Math. Seminar reports 1 (1953), 20-22. J.M.R. Sanjurjo, 'An intrinsic description of shape', Trans. Amer. Math. Soc. 329 (1992), 625-636. J.M.R. Sanjurjo, 'Multihomotopy, Cech spaces of loops and shape groups', Proc. London Math. Soc. 69 (1994), 330-344. J. Van Mill, Infinite-dimensional topology (North Holland, Amsterdam, 1989). J.E. West, 'Problems in infinite-dimensional topology', in Open problems in topology, (J. Van Mill and G.M. Reed, Editors) (North Holland, Amsterdam, 1990), pp. 523-597. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | f54f1d9d-37e9-4c15-9d97-e34a6343e575 | |
relation.isAuthorOfPublication.latestForDiscovery | f54f1d9d-37e9-4c15-9d97-e34a6343e575 |
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