Basic equivalences in the alternative set theory
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Karel Čuda, Blanka Vojtášková (1982)
Commentationes Mathematicae Universitatis Carolinae
Miroslav Šmíd, Pavol Zlatoš (1991)
Commentationes Mathematicae Universitatis Carolinae
As a counterpart to classical topological vector spaces in the alternative set theory, biequivalence vector spaces (over the field of all rational numbers) are introduced and their basic properties are listed. A methodological consequence opening a new view towards the relationship between the algebraic and topological dual is quoted. The existence of various types of valuations on a biequivalence vector space inducing its biequivalence is proved. Normability is characterized in terms of total...
Jaroslav Guričan, Pavol Zlatoš (1985)
Commentationes Mathematicae Universitatis Carolinae
Martin Kalina, Pavol Zlatoš (1989)
Commentationes Mathematicae Universitatis Carolinae
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