- -

Closed subsets of compact-like topological spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Closed subsets of compact-like topological spaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Bardyla;Ravsky - ...
Tamaño: 444.9Kb
Formato: PDF
Descripción: Versión editorial
Abrir
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
dc.description.references L. Anderson, R. Hunter, and R. Koch, Some results on stability in semigroups, Trans. Amer. Math. Soc. 117 (1965), 521-529. https://doi.org/10.1090/S0002-9947-1965-0171869-7 es_ES
dc.description.references T. Banakh, S. Bardyla and A. Ravsky, Embedding topological spaces into Hausdorff κ-bounded spaces, preprint, arXiv:1906.00185v3 es_ES
dc.description.references T. Banakh, S. Bardyla and A. Ravsky, Embeddings into countably compact Hausdorff spaces, preprint, arXiv:1906.04541. es_ES
dc.description.references T. Banakh, S. Dimitrova and O. Gutik, Embedding the bicyclic semigroup into countably compact topological semigroups, Topology Appl. 157, no. 18 (2010), 2803-2814. https://doi.org/10.1016/j.topol.2010.08.020 es_ES
dc.description.references S. Bardyla, Embedding of graph inverse semigroups into CLP-compact topological semigroups, Topology Appl. 272 (2020), 107058. https://doi.org/10.1016/j.topol.2020.107058 es_ES
dc.description.references S. Bardyla and O. Gutik, On a semitopological polycyclic monoid, Algebra Discr. Math. 21, no. 2 (2016), 163-183. es_ES
dc.description.references D. Dikranjan and E. Giuli, $S(n)$-$theta$-closed spaces, Topology Appl. 28 (1988), 59-74. https://doi.org/10.1016/0166-8641(88)90036-3 es_ES
dc.description.references D. Dikranjan and J. Pelant, Categories of topological spaces with sufficiently many sequentially closed spaces, Cahiers de Topologie et Geometrie Differentielle Categoriques 38, no. 4 (1997), 277-300. es_ES
dc.description.references A. Dow, J. R. Porter, R.M. Stephenson, Jr. and R. G. Woods, Spaces whose pseudocompact subspaces are closed subsets, Appl. Gen. Topol. 5, no. 2 (2004), 243-264. https://doi.org/10.4995/agt.2004.1973 es_ES
dc.description.references R. Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989. es_ES
dc.description.references O. Gutik and K. Pavlyk, Topological semigroups of matrix units, Algebra Discr. Math. 3 (2005), 1-17. https://doi.org/10.1007/s00233-005-0530-0 es_ES
dc.description.references O. Gutik, K. Pavlyk and A. Reiter, Topological semigroups of matrix units and countably compact Brandt $lambda^0$-extensions, Mat. Stud. 32, no. 2 (2009), 115-131. es_ES
dc.description.references O. Gutik and A. Ravsky, On old and new classes of feebly compact spaces, Visn. Lviv. Univ. Ser. Mech. Math. 85 (2018), 48-59. https://doi.org/10.30970/vmm.2018.85.048-059 es_ES
dc.description.references O. Gutik and D. Repovs, On countably compact 0-simple topological inverse semigroups, Semigroup Forum. 75, no. 2 (2007), 464-469. https://doi.org/10.1007/s00233-007-0706-x es_ES
dc.description.references J. Hildebrant and R. Koch, Swelling actions of $Gamma$-compact semigroups, Semigroup Forum 33, no. 1 (1986), 65-85. https://doi.org/10.1007/BF02573183 es_ES
dc.description.references J. E. Joseph, On H-closed spaces, Proc. Amer. Math. Soc. 55, no. 1 (1976), 223-226. https://doi.org/10.2307/2041878 es_ES
dc.description.references J. E. Joseph, More characterizations of H-closed spaces, Proc. Amer. Math. Soc. 63, no. 1 (1977), 160-164. https://doi.org/10.2307/2041087 es_ES
dc.description.references D. D. Mooney, Spaces with unique Hausdorff extensions, Topology Appl. 61, no. 1 (1995), 241-256. https://doi.org/10.1016/0166-8641(94)00031-W es_ES
dc.description.references A. Osipov, Nearly H-closed spaces, Journal of Mathematical Sciences 155, no. 4 (2008), 626-633. https://doi.org/10.1007/s10958-008-9234-9 es_ES
dc.description.references A. Osipov, Weakly H-closed spaces, Proceedings of the Steklov Institute of Mathematics 10, no. 1 (2004), S15-S17. es_ES
dc.description.references J. Porter, On locally H-closed spaces, Proc. London Math. Soc. 20, no. 3 (1970), 193-204. https://doi.org/10.1112/plms/s3-20.2.193 es_ES
dc.description.references J. Porter and J. Thomas, On H-closed and minimal Hausdorff spaces, Trans. Amer. Math. Soc. 138 (1969), 159-170. https://doi.org/10.2307/1994905 es_ES
dc.description.references J. Porter and C. Votaw, H-closed extensions I, Gen. Topology Appl. 3 (1973), 211-224. https://doi.org/10.1016/0016-660X(72)90013-X es_ES
dc.description.references J. Porter and C. Votaw, H-closed extensions II, Trans. Amer. Math. Soc. 202 (1975), 193-208. https://doi.org/10.2307/1997307 es_ES
dc.description.references J. Porter and R. Woods, Extensions and Absolues of Hausdorff Spaces, Springer, Berlin, 1988, 856 pp. https://doi.org/10.1007/978-1-4612-3712-9 es_ES
dc.description.references R. M. Stephenson, Jr, Initially κ-compact and related compact spaces, in: K. Kunen, J. E. Vaughan (eds.), Handbook of Set-Theoretic Topology, Elsevier, 1984, pp. 603-632. es_ES
dc.description.references J.E. Vaughan, Countably compact and sequentially compact spaces, in: K. Kunen, J. E. Vaughan (eds.), Handbook of Set-Theoretic Topology, Elsevier, 1984, 569-602. https://doi.org/10.1016/B978-0-444-86580-9.50015-X es_ES
dc.description.references N. Velichko, H-Closed Topological Spaces, American Mathematical Society 78, no. 2 (1968), 103-118. https://doi.org/10.1090/trans2/078/05 es_ES
dc.description.references J. Vermeer, Closed subspaces of H-closed spaces, Pacific Journal of Mathematics 118, no. 1 (1985), 229-247. https://doi.org/10.2140/pjm.1985.118.229 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem