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dc.contributor.author | Nishijima, Kusuo | es_ES |
dc.contributor.author | Yamada, Kohzo | es_ES |
dc.date.accessioned | 2017-06-16T10:52:05Z | |
dc.date.available | 2017-06-16T10:52:05Z | |
dc.date.issued | 2007-10-01 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/83057 | |
dc.description.abstract | [EN] A metric space X is called straight if any continuous real-valued function which is uniformly continuous on each set of a finite cover of X by closed sets, is itself uniformly continuous. Let C be the convergent sequence {1/n : n ϵ N} with its limit 0 in the real line with the usual metric. In this paper, we show that for a straight space X, X × C is straight if and only if X × K is straight for any compact metric space K. Furthermore, we show that for a straight space X, if X × C is straight, then X is precompact. Note that the notion of straightness depends on the metric on X. Indeed, since the real line R with the usual metric is not precompact, R×C is not straight. On the other hand, we show that the product space of an open interval and C is straight. | 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 | Straight spaces | es_ES |
dc.subject | Convergent sequence | es_ES |
dc.subject | Precompact | es_ES |
dc.subject | Uniformly continuous | es_ES |
dc.title | Products of straight spaces with compact spaces | es_ES |
dc.type | Artículo | es_ES |
dc.date.updated | 2017-06-16T10:35:58Z | |
dc.identifier.doi | 10.4995/agt.2007.1877 | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Nishijima, K.; Yamada, K. (2007). Products of straight spaces with compact spaces. Applied General Topology. 8(2):151-159. https://doi.org/10.4995/agt.2007.1877 | es_ES |
dc.description.accrualMethod | SWORD | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2007.1877 | es_ES |
dc.description.upvformatpinicio | 151 | es_ES |
dc.description.upvformatpfin | 159 | 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 |