Pettis property for Polish inverse semigroups

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dc.contributor.authorArana, Karenes_ES
dc.contributor.authorPérez, Jersones_ES
dc.contributor.authorUzcátegui, Carloses_ES
dc.date.accessioned2023-11-15T07:43:30Z
dc.date.available2023-11-15T07:43:30Z
dc.date.issued2023-10-02
dc.description.abstract[EN] We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property. We present several examples of Polish inverse subsemigroup of the symmetric inverse semigroup I(N) of all partial bijections between subsets of N. We also study whether our examples satisfy automatic continuity.en_EN
dc.description.abstract[ES] Estudiamos una propiedad de semigrupos inversos polacos análoga al teorema clásico de Pettis sobre grupos polacos. A diferencia de lo que ocurre con los grupos, mostramos que no todo semigrupo inverso polaco tiene la propiedad de Pettis. Presentamos varios ejemplos de subsemigrupos inversos polacos del semigrupo inverso simátrico I(N) que consiste de todas las biyecciones parciales entre subconjuntos de N. También estudiaremos si esos semigrupos poseen la propiedad de continuidad automática.es_ES
dc.description.accrualMethodOJSes_ES
dc.description.bibliographicCitationArana, K.; Pérez, J.; Uzcátegui, C. (2023). Pettis property for Polish inverse semigroups. Applied General Topology. 24(2):455-467. https://doi.org/10.4995/agt.2023.17396es_ES
dc.description.issue2es_ES
dc.description.referencesJ. Carruth, H. Hildebrant, and R. Koch, The theory of topological semigroups, Monographs and Textbooks in Pure and Applied Mathematics vol. 75, Marcel Dekker, Inc., New York, 1983.es_ES
dc.description.referencesL. Elliott, J. Jonušas, Z. Mesyan, J. D. Mitchell, M. Morayne, and Y. P'eresse, Automatic continuity, unique Polish topologies, and Zariski topologies (Part I, monoids), https://arxiv.org/abs/1912.07029, 2020.es_ES
dc.description.referencesL. Elliott, J. Jonušas, J. D. Mitchell, Y. Péresse, and M. Pinsker, Polish topologies on endomorphism monoids of relational structures, https://arxiv.org/abs/2203.11577, 2022.es_ES
dc.description.referencesO. V. Gutik, J. Lawson, and D. Repovš, Semigroup closures of finite rank symmetric inverse semigroups, Semigroup Forum 78, no. 2 (2009), 326-336. https://doi.org/10.1007/s00233-008-9112-2es_ES
dc.description.referencesO. V. Gutik, and A. R. Reiter, Symmetric inverse topological semigroups of finite rank ≤ n, Mat. Metodi Fiz.-Mekh. Polya 52, no. 3 (2009), 7-14.es_ES
dc.description.referencesJ. Howie, Fundamentals of semigroup theory, London Mathematical Society Monographs. New Series 12. Oxford University Press, New York, Second Edition, 2003.es_ES
dc.description.referencesA. Kechris, Classical Descriptive Set Theory. Graduate Texts in Mathematics 156. Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-4190-4es_ES
dc.description.referencesA. Kechris, and C. Rosendal, Turbulence, amalgamation, and generic automorphisms of homogeneous structures, Proc. Lond. Math. Soc. 94, no. 2 (2008), 302-350. https://doi.org/10.1112/plms/pdl007es_ES
dc.description.referencesZ. Mesyan, J. Mitchell, and Y. Péresse, Topological transformation monoids, https://arxiv.org/abs/1809.04590, 2018.es_ES
dc.description.referencesJ. Pérez, and C. Uzcátegui, Topologies on the symmetric inverse semigroup, Semigroup Forum 104 (2022), 398-414. https://doi.org/10.1007/s00233-021-10242-6es_ES
dc.description.referencesC. Rosendal, Automatic continuity of group homomorphisms, Bull. Symbolic Logic 15, no. 2 (2009), 184-214. https://doi.org/10.2178/bsl/1243948486es_ES
dc.description.referencesC. Rosendal, and S. Solecki, Automatic continuity of homomorphisms and fixed points on metric compacta, Israel J. Math. 162 (2007), 349-371. https://doi.org/10.1007/s11856-007-0102-yes_ES
dc.description.referencesM. Sabok, Automatic continuity for isometry groups, J. Inst. Math. Jussieu 18, no. 3 (2019), 561-590. https://doi.org/10.1017/S1474748017000135es_ES
dc.description.referencesC. Uzcátegui-Aylwin, Ideals on countable sets: a survey with questions, Rev. Integr. temas mat. 37, no. 1 (2019), 167-198. https://doi.org/10.18273/revint.v37n1-2019009es_ES
dc.description.upvformatpfin467es_ES
dc.description.upvformatpinicio455es_ES
dc.description.volume24es_ES
dc.identifier.doi10.4995/agt.2023.17396
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/199699
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de Valènciaes_ES
dc.relation.ispartofApplied General Topologyes_ES
dc.relation.pasarelaOJS\17396es_ES
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2023.17396es_ES
dc.relation.references10.1016/j.aim.2023.109214es_ES
dc.relation.references10.1007/s00233-008-9112-2es_ES
dc.relation.references10.1007/978-1-4612-4190-4es_ES
dc.relation.references10.1112/plms/pdl007es_ES
dc.relation.references10.1007/s00233-021-10242-6es_ES
dc.relation.references10.2178/bsl/1243948486es_ES
dc.relation.references10.1007/s11856-007-0102-yes_ES
dc.relation.references10.1017/S1474748017000135es_ES
dc.relation.references10.18273/revint.v37n1-2019009es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectInverse topological semigroupses_ES
dc.subjectPolish semigroupses_ES
dc.subjectPettis theoremes_ES
dc.subjectAutomatic continuityes_ES
dc.titlePettis property for Polish inverse semigroupses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid4c328314-080d-4a36-9f7d-b00fba86a35aes_ES

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Applied General Topology - Vol 24, No 2 (2023)