On generalization of theorems of Pestryakov

Osipov, A. V.

doi:10.1016/j.topol.2020.107399

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/101420

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DC Field	Value	Language
dc.contributor.author	Osipov, A. V.	en
dc.date.accessioned	2021-08-31T14:57:07Z	-
dc.date.available	2021-08-31T14:57:07Z	-
dc.date.issued	2020	-
dc.identifier.citation	Osipov A. V. On generalization of theorems of Pestryakov / A. V. Osipov. — DOI 10.1016/j.topol.2020.107399 // Topology and its Applications. — 2020. — Vol. 283. — 107399.	en
dc.identifier.issn	1668641	-
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-s2.0-85091633359&doi=10.1016%2fj.topol.2020.107399&partnerID=40&md5=184de9f09e119a53fbb42ebab4b2a88a
dc.identifier.other	http://arxiv.org/pdf/1903.06124	m
dc.identifier.uri	http://elar.urfu.ru/handle/10995/101420	-
dc.description.abstract	In 1987 A.V. Pestryakov proved a series of theorems for cardinal functions of the space Bα(X) of all real-valued functions of Baire class α (α>0), and he conjectured that most of these theorems are true for spaces containing all finite linear combinations of characteristic functions of zero-sets in X. In this paper we investigate for which theorems of Pestryakov generalizations are valid. Also we prove some additional propositions for function spaces applying the theory of selection principles. © 2020	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	Topol. Appl.	2
dc.source	Topology and its Applications	en
dc.subject	CARDINAL FUNCTIONS	en
dc.subject	DENSITY	en
dc.subject	GΔ-MODIFICATION	en
dc.subject	LINDELÖF NUMBER	en
dc.subject	SELECTION PRINCIPLES	en
dc.subject	SPACE OF BAIRE FUNCTIONS	en
dc.subject	SPREAD	en
dc.subject	TIGHTNESS	en
dc.title	On generalization of theorems of Pestryakov	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.1016/j.topol.2020.107399	-
dc.identifier.scopus	85091633359	-
local.contributor.employee	Osipov, A.V., Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, Russian Federation
local.volume	283	-
local.contributor.department	Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, Russian Federation
local.identifier.pure	13912325	-
local.identifier.pure	963ab2e9-2305-40b3-b3e6-1192c0c9edd8	uuid
local.description.order	107399	-
local.identifier.eid	2-s2.0-85091633359	-
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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