ON FUNCTION SPACES | Sciact

ON FUNCTION SPACES Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2020, Volume: 17, Pages: 999-1008 Pages count : 10 DOI: 10.33048/semi.2020.17.074

Tags

d-space; essentially complete space; function space; injective space; sober space

Authors

Ershov Y.L. ¹ , Schwidefsky M.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russian Federation
2	Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia, Russian Federation

For certain properties B of topological T0-spaces, we prove that an arbitrary T0-space Y has property B if and only if the function space C(X, Y) endowed with the pointwise convergence topology possesses B for some (and therefore, for each) [α*-]space X. © 2020. Ershov Yu.L., Schwidefsky M.V. All rights reserved.

Ershov Y.L. , Schwidefsky M.V.
ON FUNCTION SPACES
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.999-1008. DOI: 10.33048/semi.2020.17.074 WOS Scopus OpenAlex

Web of science:	WOS:000551514800001
Scopus:	2-s2.0-85099237591
OpenAlex:	W3115252577

DB	Citing
Scopus	4
OpenAlex	2