Topological equivalences of $$\mathbf {CUT}$$ CUT and $$\mathbf {CUT}$$ CUT

Archive for Mathematical Logic 55 (7-8):867-872 (2016)
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Abstract

In this note, two well-known topological facts regarding cofinite and cocountable-like topologies over uncountable sets are shown to be equivalent either to the Countable Union Theorem or to the Countable Union Theorem for countable families of finite sets.

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