Description:
Definitions for forms [0 AV], [8 AP] through [8 AS], [94 X], and Form 424 from Gutierres [2004].
Content:
Definitions for forms [0 AV], [8 AP] through [8 AS], [94 X], and Form 424 from Gutierres [2004].
A topological space is super second countable if every basis for the space has a countable subfamily which is a basis. Note that ``super second countable'' and ``second countable'' are equivalent if the axiom of choice is assumed. Also note that for the forms mentioned in the heading of this note a local base at a point \(x\) or a local neighborhood base at a point \(x\) is a collection \(\cal C\) of neighborhoods of \(x\) such that for every open set \(U\) containing \(x\), there is an \(N\) in \(\cal C\) such that \(N\subseteq U\). A neighborhood of \(x\) is a set \(N\) containing \(x\) such that there is some open \(V\) containing \(x\) such that \(V \subseteq N\). (So a neighborhood need not be open.)Howard-Rubin number: 159
Type: Definitions
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