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Quasidenseness in $\Bbb r^{\Bbb n}$ and projective parallelotopes
A. E. Gutmanab, I. A. Emelyanenkova a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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.
Keywords:
Archimedean ordered vector space, locally convex space, weak topology, cone, quasi-interior, quasidense set.
Citation:
A. E. Gutman, I. A. Emelyanenkov, “Quasidenseness in $\Bbb r^{\Bbb n}$ and projective parallelotopes”, Sibirsk. Mat. Zh., 65:2 (2024), 258–276
Linking options:
https://www.mathnet.ru/eng/smj7853 https://www.mathnet.ru/eng/smj/v65/i2/p258
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Abstract page: | 44 | References: | 11 | First page: | 3 |
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