A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line

Smolin, V.

doi:10.1016/j.topol.2023.108616

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dc.contributor.author	Smolin, V.	en
dc.date.accessioned	2024-04-05T16:25:48Z	-
dc.date.available	2024-04-05T16:25:48Z	-
dc.date.issued	2023	-
dc.identifier.citation	Smolin, V 2023, 'A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line', Topology and its Applications, Том. 336, 108616. https://doi.org/10.1016/j.topol.2023.108616	harvard_pure
dc.identifier.citation	Smolin, V. (2023). A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line. Topology and its Applications, 336, [108616]. https://doi.org/10.1016/j.topol.2023.108616	apa_pure
dc.identifier.issn	0166-8641	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access, Green	3
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161692510&doi=10.1016%2fj.topol.2023.108616&partnerID=40&md5=9f4901acbc38347ee4489dd8ff1389a7	1
dc.identifier.other	https://arxiv.org/pdf/2110.12808	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/130555	-
dc.description.abstract	In this note we prove that a regular continuous open image of the Sorgenfrey line with an uncountable weight has a closed subspace that is homeomorphic to the Sorgenfrey line. As a corollary we deduce the theorem in the title. © 2023 Elsevier B.V.	en
dc.description.sponsorship	Ministry of Education and Science of the Russian Federation, Minobrnauka: 075-02-2023-913	en
dc.description.sponsorship	The author would like to thank Vova Ivchenko for the help with translation of this paper from Russian to English. The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation (Agreement number 075-02-2023-913 ).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Elsevier B.V.	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Topology and its Applications	2
dc.source	Topology and its Applications	en
dc.subject	METRIZABLE COMPACT SPACE	en
dc.subject	OPEN MAP	en
dc.subject	SORGENFREY LINE	en
dc.title	A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	\|info:eu-repo/semantics/submittedVersion	en
dc.identifier.doi	10.1016/j.topol.2023.108616	-
dc.identifier.scopus	85161692510	-
local.contributor.employee	Smolin, V., Krasovskii Institute of Mathematics and Mechanics of UB RAS, 16 Sofia Kovalevskaya street, Yekaterinburg, 620108, Russian Federation, Ural Federal University, Mathematical Analysis Department, Ekaterinburg, 620002, Russian Federation	en
local.volume	336	-
dc.identifier.wos	001024694200001	-
local.contributor.department	Krasovskii Institute of Mathematics and Mechanics of UB RAS, 16 Sofia Kovalevskaya street, Yekaterinburg, 620108, Russian Federation	en
local.contributor.department	Ural Federal University, Mathematical Analysis Department, Ekaterinburg, 620002, Russian Federation	en
local.identifier.pure	40600776	-
local.description.order	108616	-
local.identifier.eid	2-s2.0-85161692510	-
local.identifier.wos	WOS:001024694200001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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