AbstractWe prove that, under MA+¬CH, if X is a compact, separable space, then every subspace Y of Cp(X) with Yn Lindelöf for all n ϵ N has countable network
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
AbstractWe prove that, under MA+¬CH, if X is a compact, separable space, then every subspace Y of Cp...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractThe following facts are established. If X is ω-monolithic and w-stable, and the spread of Cp...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractThe following result is proved: Let Y be the image of a metric space X under a closed map f....
AbstractA space X is said to be Lindelöf in a space Z if every open cover of Z has a countable subco...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions ...
Lindelöf property and the iterated continuous function spaces by G. A. Soko l o v (Tomsk) Abstract....
AbstractThe set theoretic principle ♢ is used to construct hereditarily Lindelof, non-separable subs...
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
AbstractWe prove that, under MA+¬CH, if X is a compact, separable space, then every subspace Y of Cp...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractThe following facts are established. If X is ω-monolithic and w-stable, and the spread of Cp...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractThe following result is proved: Let Y be the image of a metric space X under a closed map f....
AbstractA space X is said to be Lindelöf in a space Z if every open cover of Z has a countable subco...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions ...
Lindelöf property and the iterated continuous function spaces by G. A. Soko l o v (Tomsk) Abstract....
AbstractThe set theoretic principle ♢ is used to construct hereditarily Lindelof, non-separable subs...
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:A space $X$ is {functionally countable} if $f(X)$ is countable for any continuous function $...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...