summary:We prove that if $X$ is a first countable space with property $(DC(\omega_1))$ and with a $G_\delta$-diagonal then the cardinality of $X$ is at most $\mathfrak c$. We also show that if $X$ is a first countable, DCCC, normal space then the extent of $X$ is at most $\mathfrak c$
AbstractWe show that an orthocompact Dieudonné complete almost 2-fully normal space need not be para...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lind...
summary:We prove that if $X$ is a first countable space with property $(DC(\omega_1))$ and with a $G...
summary:A topological space $X$ has a rank 2-diagonal if there exists a diagonal sequence on $X$ of ...
We prove that if a space \(X\) with a rank 2-diagonal either has the countable chain condition or is...
summary:We show that if $X^2$ has countable extent and $X$ has a zeroset diagonal then $X$ is submet...
AbstractWe show that the cardinality of a ccc-space with a regular Gδ-diagonal is at most 2ω
summary:We say that a space $X$ has the discrete countable chain condition (DCCC for short) if every...
We prove that if \(X\) is a space satisfying the discrete countable chain condition with a rank 3-di...
AbstractIn this paper, we find subspaces of the Pixley-Roy space on the irrationals which are 1.(1) ...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
summary:A DC-space (or space of dense constancies) is a Tychonoff space $X$ such that for each $f\in...
summary:A topological space $X$ is said to be star Lindelöf if for any open cover $\mathcal U$ of $X...
AbstractWe show that every first-countable countably paracompact Lindelöf T1-space has cardinality a...
AbstractWe show that an orthocompact Dieudonné complete almost 2-fully normal space need not be para...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lind...
summary:We prove that if $X$ is a first countable space with property $(DC(\omega_1))$ and with a $G...
summary:A topological space $X$ has a rank 2-diagonal if there exists a diagonal sequence on $X$ of ...
We prove that if a space \(X\) with a rank 2-diagonal either has the countable chain condition or is...
summary:We show that if $X^2$ has countable extent and $X$ has a zeroset diagonal then $X$ is submet...
AbstractWe show that the cardinality of a ccc-space with a regular Gδ-diagonal is at most 2ω
summary:We say that a space $X$ has the discrete countable chain condition (DCCC for short) if every...
We prove that if \(X\) is a space satisfying the discrete countable chain condition with a rank 3-di...
AbstractIn this paper, we find subspaces of the Pixley-Roy space on the irrationals which are 1.(1) ...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
summary:A DC-space (or space of dense constancies) is a Tychonoff space $X$ such that for each $f\in...
summary:A topological space $X$ is said to be star Lindelöf if for any open cover $\mathcal U$ of $X...
AbstractWe show that every first-countable countably paracompact Lindelöf T1-space has cardinality a...
AbstractWe show that an orthocompact Dieudonné complete almost 2-fully normal space need not be para...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lind...
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