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Indicators, recursive saturation and expandability

L. Kirby, K. McAllon, R. Murawski (1981)

Fundamenta Mathematicae

Indiscernibles and dimensional compactness

C. Ward Henson, Pavol Zlatoš (1996)

Commentationes Mathematicae Universitatis Carolinae

This is a contribution to the theory of topological vector spaces within the framework of the alternative set theory. Using indiscernibles we will show that every infinite set $u S \subseteq G$ in a biequivalence vector space $〈 W, M, G 〉$ , such that $x - y \notin M$ for distinct $x, y \in u$ , contains an infinite independent subset. Consequently, a class $X \subseteq G$ is dimensionally compact iff the $π$ -equivalence $≐_{M}$ is compact on $X$ . This solves a problem from the paper [NPZ 1992] by J. Náter, P. Pulmann and the second author.

Displaying 1 – 7 of 7

Indicators, recursive saturation and expandability

Indiscernibles and dimensional compactness

Indiscernibles in the alternative set theory

Initial segments and isomorphic images of nonstandard models of arithmetic

Internally standard set theories

Intrinsic Stochastic Processes.

Invariant subspaces for polynomially compact almost superdiagonal operators on $l (p_{i})$ .

Currently displaying 1 – 7 of 7

Displaying 1 – 7 of 7

Indicators, recursive saturation and expandability

Indiscernibles and dimensional compactness

Indiscernibles in the alternative set theory

Initial segments and isomorphic images of nonstandard models of arithmetic

Internally standard set theories

Intrinsic Stochastic Processes.

Invariant subspaces for polynomially compact almost superdiagonal operators on l ( p i ) .

Currently displaying 1 – 7 of 7

Invariant subspaces for polynomially compact almost superdiagonal operators on $l (p_{i})$ .