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dc.contributor.author	Arana, Karen	es_ES
dc.contributor.author	Pérez, Jerson	es_ES
dc.contributor.author	Uzcátegui, Carlos	es_ES
dc.date.accessioned	2023-11-15T07:43:30Z
dc.date.available	2023-11-15T07:43:30Z
dc.date.issued	2023-10-02
dc.identifier.issn	1576-9402
dc.identifier.uri	http://hdl.handle.net/10251/199699
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.	es_ES
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.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	Inverse topological semigroups	es_ES
dc.subject	Polish semigroups	es_ES
dc.subject	Pettis theorem	es_ES
dc.subject	Automatic continuity	es_ES
dc.title	Pettis property for Polish inverse semigroups	es_ES
dc.type	Artículo	es_ES
dc.identifier.doi	10.4995/agt.2023.17396
dc.rights.accessRights	Abierto	es_ES
dc.description.bibliographicCitation	Arana, 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.2023.17396	es_ES
dc.description.accrualMethod	OJS	es_ES
dc.relation.publisherversion	https://doi.org/10.4995/agt.2023.17396	es_ES
dc.description.upvformatpinicio	455	es_ES
dc.description.upvformatpfin	467	es_ES
dc.type.version	info:eu-repo/semantics/publishedVersion	es_ES
dc.description.volume	24	es_ES
dc.description.issue	2	es_ES
dc.identifier.eissn	1989-4147
dc.relation.pasarela	OJS\17396	es_ES
dc.description.references	J. 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.references	L. 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.references	L. 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.references	O. 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/s00233-008-9112-2	es_ES
dc.description.references	O. 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.references	J. Howie, Fundamentals of semigroup theory, London Mathematical Society Monographs. New Series 12. Oxford University Press, New York, Second Edition, 2003.	es_ES
dc.description.references	A. Kechris, Classical Descriptive Set Theory. Graduate Texts in Mathematics 156. Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-4190-4	es_ES
dc.description.references	A. 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/pdl007	es_ES
dc.description.references	Z. Mesyan, J. Mitchell, and Y. Péresse, Topological transformation monoids, https://arxiv.org/abs/1809.04590, 2018.	es_ES
dc.description.references	J. Pérez, and C. Uzcátegui, Topologies on the symmetric inverse semigroup, Semigroup Forum 104 (2022), 398-414. https://doi.org/10.1007/s00233-021-10242-6	es_ES
dc.description.references	C. Rosendal, Automatic continuity of group homomorphisms, Bull. Symbolic Logic 15, no. 2 (2009), 184-214. https://doi.org/10.2178/bsl/1243948486	es_ES
dc.description.references	C. 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-y	es_ES
dc.description.references	M. Sabok, Automatic continuity for isometry groups, J. Inst. Math. Jussieu 18, no. 3 (2019), 561-590. https://doi.org/10.1017/S1474748017000135	es_ES
dc.description.references	C. 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.v37n1-2019009	es_ES
dc.relation.references	10.1016/j.aim.2023.109214	es_ES
dc.relation.references	10.1007/s00233-008-9112-2	es_ES
dc.relation.references	10.1007/978-1-4612-4190-4	es_ES
dc.relation.references	10.1112/plms/pdl007	es_ES
dc.relation.references	10.1007/s00233-021-10242-6	es_ES
dc.relation.references	10.2178/bsl/1243948486	es_ES
dc.relation.references	10.1007/s11856-007-0102-y	es_ES
dc.relation.references	10.1017/S1474748017000135	es_ES
dc.relation.references	10.18273/revint.v37n1-2019009	es_ES

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