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dc.contributor.author | Gong, Jianhua | es_ES |
dc.contributor.author | Reilly, Ivan L. | es_ES |
dc.date.accessioned | 2017-06-16T12:05:19Z | |
dc.date.available | 2017-06-16T12:05:19Z | |
dc.date.issued | 2007-10-01 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/83074 | |
dc.description.abstract | [EN] The main purpose of this paper is to prove the following two theorems, an order hereditary closure preserving sum theorem and an hereditary theorem: (1) If a topological property P satisfies (Σ′) and is closed hereditary, and if V is an order hereditary closure preserving open cover of X and each V ϵ V is elementary and possesses P, then X possesses P. (2) Let a topological property P satisfy (Σ′) and (β), and be closed hereditary. Let X be a topological space which possesses P. If every open subset G of X can be written as an order hereditary closure preserving (in G) collection of elementary sets, then every subset of X possesses P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Universitat Politècnica de València | |
dc.relation.ispartof | Applied General Topology | |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Elementary set | es_ES |
dc.subject | Order hereditary closure preserving | es_ES |
dc.subject | Sum theorem | es_ES |
dc.title | On the Order Hereditary Closure Preserving Sum Theorem | es_ES |
dc.type | Artículo | es_ES |
dc.date.updated | 2017-06-16T10:35:55Z | |
dc.identifier.doi | 10.4995/agt.2007.1892 | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Gong, J.; Reilly, IL. (2007). On the Order Hereditary Closure Preserving Sum Theorem. Applied General Topology. 8(2):267-272. https://doi.org/10.4995/agt.2007.1892 | es_ES |
dc.description.accrualMethod | SWORD | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2007.1892 | es_ES |
dc.description.upvformatpinicio | 267 | es_ES |
dc.description.upvformatpfin | 272 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 8 | |
dc.description.issue | 2 | |
dc.identifier.eissn | 1989-4147 |