On sequentially compact T2 compactifications
| dc.contributor.author | Ruiz Sancho, Jesús María | |
| dc.date.accessioned | 2023-06-21T02:04:18Z | |
| dc.date.available | 2023-06-21T02:04:18Z | |
| dc.date.issued | 1982-03 | |
| dc.description.abstract | It is known that a compact space can fail to be sequentially compact. In this paper we consider the following problem: when does a space admit a sequentially compact T2 compactification? In the first section we develop a method to produce such compactifications, and we apply it in the second section to study the question using coverings. Moreover, we obtain solutions for locally compact T2 spaces, and for metrizable spaces. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | I.N.A.P.E. | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20377 | |
| dc.identifier.doi | 10.1016/0166-8641(82)90019-0 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/0166864182900190# | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64775 | |
| dc.issue.number | 2 | |
| dc.journal.title | Topology and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 189 | |
| dc.page.initial | 177 | |
| dc.publisher | Elsevier Science | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.cdu | 515.122.536 | |
| dc.subject.keyword | Locally compact T2 spaces | |
| dc.subject.keyword | metrizable spaces | |
| dc.subject.keyword | sequentially compact space | |
| dc.subject.keyword | countably metacompact space | |
| dc.subject.keyword | F-sequential-compactification | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On sequentially compact T2 compactifications | |
| dc.type | journal article | |
| dc.volume.number | 13 | |
| dcterms.references | R.S. Palais, Homotopy theory of infinite dimensional manifolds, Topology, 5 (1966), pp. 1–16 J.L. Pinilla, Algunos resultados sobre numerable-compactificationes y secuencial-compactificaciones, Univ. Complutense de Madrid Fac.de Matemáticas (1978) V.M. Ul'Janov, On compactifications satisfying the first axiom of countability and absolutes, Math. Sb., 98 (140) (1975), p. 223 . Math. USSR λ, 27 (1975), p. 199 J. Dugundji, Topology, Allyn and Bicon Ltd, Boston, MA (1966) R. Walker, Stone-Čech Compactification, Springer-Verlag, Berlin (1972) J. Nagata, Modern General Topology, North-Holland, Amsterdam (1968) R.A. Alò, H.L. Shapiro, Normal Topological Spaces, Cambridge University Press, London (1974) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f12f8d97-65c7-46aa-ad47-2b7099b37aa4 | |
| relation.isAuthorOfPublication.latestForDiscovery | f12f8d97-65c7-46aa-ad47-2b7099b37aa4 |
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