Spaces with countable $sn$-networks

Ge Ying

On remote points, non-normality and $π$ -weight $ω_{1}$

Sergei Logunov (2001)

Commentationes Mathematicae Universitatis Carolinae

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We show, in particular, that every remote point of $X$ is a nonnormality point of $β X$ if $X$ is a locally compact Lindelöf separable space without isolated points and $π w (X) \leq ω_{1}$ .

Some non-multiplicative properties are $l$ -invariant

Vladimir Vladimirovich Tkachuk (1997)

Commentationes Mathematicae Universitatis Carolinae

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A cardinal function $ϕ$ (or a property $𝒫$ ) is called $l$ -invariant if for any Tychonoff spaces $X$ and $Y$ with $C_{p} (X)$ and $C_{p} (Y)$ linearly homeomorphic we have $ϕ (X) = ϕ (Y)$ (or the space $X$ has $𝒫$ ( $\equiv X ⊢ 𝒫$ ) iff $Y ⊢ 𝒫$ ). We prove that the hereditary Lindelöf number is $l$ -invariant as well as that there are models of $Z F C$ in which hereditary separability is $l$ -invariant.

Displaying similar documents to “Spaces with countable s n -networks”

On remote points, non-normality and π -weight ω 1

Some non-multiplicative properties are l -invariant

Displaying similar documents to “Spaces with countable $s n$ -networks”

On remote points, non-normality and $π$ -weight $ω_{1}$

Some non-multiplicative properties are $l$ -invariant