On Regular K -Bounded Spaces Admitting Only Constant Continuous Mappings into T1 Spaces of Pseudocharacter ≤ κ

Bardyla, S.; Osipov, A.

doi:10.1007/s10474-020-01082-x

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Поле DC	Значение	Язык
dc.contributor.author	Bardyla, S.	en
dc.contributor.author	Osipov, A.	en
dc.date.accessioned	2022-05-12T08:17:28Z	-
dc.date.available	2022-05-12T08:17:28Z	-
dc.date.issued	2021	-
dc.identifier.citation	Bardyla S. On Regular K -Bounded Spaces Admitting Only Constant Continuous Mappings into T1 Spaces of Pseudocharacter ≤ κ / S. Bardyla, A. Osipov. — DOI 10.3390/plants11060741 // Acta Mathematica Hungarica. — 2021. — Vol. 163. — Iss. 1. — P. 323-333.	en
dc.identifier.issn	0236-5294	-
dc.identifier.other	All Open Access, Green	3
dc.identifier.uri	http://elar.urfu.ru/handle/10995/111395	-
dc.description.abstract	For each cardinal κ we construct an infinite κ-bounded (and hence countably compact) regular space Rκ such that for any T1 space Y of pseudocharacter ≤ κ, each continuous function f: Rκ→ Y is constant. This result resolves two problems posted by Tzannes[13] and extends results of Ciesielski and Wojciechowski [4] and Herrlich [8]. © 2020, Akadémiai Kiadó, Budapest, Hungary.	en
dc.description.sponsorship	The work of the first author is supported by the Austrian Science Fund FWF (Grant I 3709 N35). The work of the second author was made in the framework of research conducted at the Ural Mathematical Center.The authors acknowledge Lyubomyr Zdomskyy for his fruitful comments and suggestions. The work reported here was carried out during the visit of the second named author to the KGRC in Vienna. He wishes to thank his colleagues in Vienna.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Springer Science and Business Media B.V.	en1
dc.publisher	Springer Science and Business Media LLC	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Acta Math. Hung.	2
dc.source	Acta Mathematica Hungarica	en
dc.subject	CONSTANT FUNCTION	en
dc.subject	COUNTABLY COMPACT SPACE	en
dc.subject	Κ-BOUNDED SPACE	en
dc.title	On Regular K -Bounded Spaces Admitting Only Constant Continuous Mappings into T1 Spaces of Pseudocharacter ≤ κ	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/submittedVersion	en
dc.identifier.doi	10.1007/s10474-020-01082-x	-
dc.identifier.scopus	85093916840	-
local.contributor.employee	Bardyla, S., Institute of Mathematics, University of Vienna, Vienna, Austria; Osipov, A., Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, and Ural State University of Economics, Yekaterinburg, Russian Federation	en
local.description.firstpage	323	-
local.description.lastpage	333	-
local.issue	1	-
local.volume	163	-
dc.identifier.wos	000582093600001	-
local.contributor.department	Institute of Mathematics, University of Vienna, Vienna, Austria; Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, and Ural State University of Economics, Yekaterinburg, Russian Federation	en
local.identifier.pure	21024414	-
local.identifier.eid	2-s2.0-85093916840	-
local.identifier.wos	WOS:000582093600001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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