2016Colloquium MathematicumOpen access

The $C_p$-stable closure of the class of separable metrizable spaces

Тарас Банах, Saak Gabriyelyan

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Abstract

Denote by $\mathbf {C}_p[\mathfrak M _0]$ the $C_p$-stable closure of the class $\mathfrak M _0$ of all separable metrizable spaces, i.e., $\mathbf {C}_p[\mathfrak M _0]$ is the smallest class of topological spaces that contains $\mathfrak M _0$ and is cl

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Denote by $\mathbf {C}_p[\mathfrak M _0]$ the $C_p$-stable closure of the class $\mathfrak M _0$ of all separable metrizable spaces, i.e., $\mathbf {C}_p[\mathfrak M _0]$ is the smallest class of topological spaces that contains $\mathfrak M _0$ and is cl

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Available abstract

Denote by $\mathbf {C}_p[\mathfrak M _0]$ the $C_p$-stable closure of the class $\mathfrak M _0$ of all separable metrizable spaces, i.e., $\mathbf {C}_p[\mathfrak M _0]$ is the smallest class of topological spaces that contains $\mathfrak M _0$ and is cl

Key concepts: Metrization theorem, Mathematics, Closure (psychology), Separable space, Class (philosophy), Combinatorics, Discrete mathematics, Pure mathematics

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