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dc.contributor.author | Bardyla, Serhii | es_ES |
dc.contributor.author | Ravsky, Alex | es_ES |
dc.date.accessioned | 2020-10-07T09:18:24Z | |
dc.date.available | 2020-10-07T09:18:24Z | |
dc.date.issued | 2020-10-01 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/151360 | |
dc.description.abstract | [EN] We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open dense subspaces ofcountably pracompact topological spaces. We construct a pseudocompact topological semigroup which contains the bicyclic monoid as a closed subsemigroup. This example provides an affirmative answer to a question posed by Banakh, Dimitrova, and Gutik in [4]. Also, we show that the semigroup of ω×ω-matrix units cannot be embedded into a Hausdorff topological semigroup whose space is weakly H-closed. | es_ES |
dc.description.sponsorship | The work of the first author is supported by the Austrian Science Fund FWF (Grant I 3709 N35) | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Universitat Politècnica de València | es_ES |
dc.relation.ispartof | Applied General Topology | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Pseudocompact space | es_ES |
dc.subject | H-closed space | es_ES |
dc.subject | Semigroup of matrix units | es_ES |
dc.subject | Bicyclic monoid | es_ES |
dc.title | Closed subsets of compact-like topological spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4995/agt.2020.12258 | |
dc.relation.projectID | info:eu-repo/grantAgreement/FWF//I 3709/AT/Forcing, fusion, and combinatorics of open covers/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Bardyla, S.; Ravsky, A. (2020). Closed subsets of compact-like topological spaces. Applied General Topology. 21(2):201-214. https://doi.org/10.4995/agt.2020.12258 | es_ES |
dc.description.accrualMethod | OJS | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2020.12258 | es_ES |
dc.description.upvformatpinicio | 201 | es_ES |
dc.description.upvformatpfin | 214 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 21 | es_ES |
dc.description.issue | 2 | es_ES |
dc.identifier.eissn | 1989-4147 | |
dc.relation.pasarela | OJS\12258 | es_ES |
dc.contributor.funder | Austrian Science Fund | es_ES |
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