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Quasidenseness in Rᴺ and Projective Parallelotopes Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2024, Volume: 65, Number: 2, Pages: 265-278 Pages count : 14 DOI: 10.1134/S0037446624020034
Tags Archimedean ordered vector space, locally convex space, weak topology, cone, quasiinterior, quasidense set
Authors Gutman A.E. 1,2 , Emelianenkov I.A. 1
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0004

Abstract: We establish two new criteria for the closedness of Archimedean cones in countable-dimensional locally convex spaces in terms of projective parallelotopes and projective automorphisms. We also answer some open questions about quasidenseness and quasi-interior.
Cite: Gutman A.E. , Emelianenkov I.A.
Quasidenseness in Rᴺ and Projective Parallelotopes
Siberian Mathematical Journal. 2024. V.65. N2. P.265-278. DOI: 10.1134/S0037446624020034 WOS Scopus РИНЦ OpenAlex
Original: Гутман А.Е. , Емельяненков И.А.
Квазиплотность в Rᴺ и проективные параллелотопы
Сибирский математический журнал. 2024. Т.65. №2. С.258-276. DOI: 10.33048/smzh.2024.65.203 РИНЦ
Dates:
Submitted: Dec 24, 2023
Accepted: Dec 25, 2023
Published print: Mar 25, 2024
Published online: Mar 25, 2024
Identifiers:
Web of science: WOS:001256062900020
Scopus: 2-s2.0-85188526164
Elibrary: 66555143
OpenAlex: W4393166749
Citing: Пока нет цитирований
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