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2014•Georgian Mathematical JournalRequires access

A characterization of uncountable sets in terms of their self-mappings and large invariant subsets

Alexander B. Kharazishvili

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Abstract

Abstract One characterization of an uncountable set E is given in terms of mappings f of E into itself and “large” subsets of E which are invariant with respect to f.

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Abstract One characterization of an uncountable set E is given in terms of mappings f of E into itself and “large” subsets of E which are invariant with respect to f.

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Available abstract

Abstract One characterization of an uncountable set E is given in terms of mappings f of E into itself and “large” subsets of E which are invariant with respect to f.

Key concepts: Uncountable set, Mathematics, Invariant (physics), Characterization (materials science), Discrete mathematics, Set (abstract data type), Pure mathematics, Combinatorics

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