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- W4229998232 abstract "Let $Q in$ character $leq tau$, pseudocharacter $leq tau$, tightness $leq tau$, weight $leq tau$ , ${P_tau }$-property, discreteness, Fréchet-Urysohn property, sequentiality, radiality, pseudoradiality, local compactness, $k$-property. If ${X^n} = cup { {X_i}:i in n}$, ${X_i} vdash Q$ for all $i in n$ then $X vdash Q$ (i.e. the property $Q$ is $n$-additive in ${X^n}$ for any $X in {T_3}$). Metrizability is $n$-additive in ${X^n}$ provided $X$ is compact or $c(X) = omega$. ${text {ANR}}$-property is closely $n$-additive in ${X^n}$ if $X$ is compact (closely means additivity in case ${X_i}$ is closed in ${X^n}$). If $Q in$ metrizability, character $leq tau$, pseudocharacter $leq tau$, diagonal number $leq tau$ , $i$-weight $leq tau$, pseudoweight $leq tau$, local compactness then $Q$ is finitely additive in any topological group." @default.
- W4229998232 created "2022-05-11" @default.
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- W4229998232 date "1994-02-01" @default.
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- W4229998232 title "Finite and Countable Additivity of Topological Properties in Nice Spaces" @default.
- W4229998232 doi "https://doi.org/10.2307/2154573" @default.
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