Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The projectively Hurewicz property is t-invariant
AU - Osipov, A. V.
N1 - 2020 Mathematics Subject Classification. Primary 54C35; Secondary 54D20, 54C05, 54C65 Keywords. Projectively Hurewicz space, selection principles, t-invariant, Cp-spaces Received: 09 March 2023; Revised: 06 June 2023; Accepted: 07 June 2023 Communicated by Ljubisˇa D.R. Kocˇimac The research is funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged. Email address: OAB@list.ru (Alexander V. Osipov)
PY - 2023
Y1 - 2023
N2 - A space X is projectively Hurewicz provided every separable metrizable continuous image of X is Hurewicz. In this paper we prove that the projectively Hurewicz property is t-invariant, i.e., if Cp (X) is homeomor-phic to Cp (Y) and X is projectively Hurewicz, then Y is projectively Hurewicz, too.
AB - A space X is projectively Hurewicz provided every separable metrizable continuous image of X is Hurewicz. In this paper we prove that the projectively Hurewicz property is t-invariant, i.e., if Cp (X) is homeomor-phic to Cp (Y) and X is projectively Hurewicz, then Y is projectively Hurewicz, too.
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85168612105
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001052145100001
U2 - 10.2298/FIL2328613O
DO - 10.2298/FIL2328613O
M3 - Article
VL - 37
SP - 9613
EP - 9616
JO - Filomat
JF - Filomat
SN - 0354-5180
IS - 28
ER -
ID: 44706565