Add to ORKGsummary:It is shown that if $X$ is a first-countable countably compact subspace of ordinals then $C_p(X)$ is Lindelöf. This result is used to construct an example of a countably compact space $X$ such that the extent of $C_p(X)$ is less than the Lindelöf number of $C_p(X)$. This example answers negatively Reznichenko's question whether Baturov's theorem holds for countably compact spaces
summary:We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by s...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
AbstractWe show that every first-countable countably paracompact Lindelöf T1-space has cardinality a...
summary:It is shown that if $X$ is a first-countable countably compact subspace of ordinals then $C_...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
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...
Abstract. It is shown that if X is a first-countable countably compact subspace of ordi-nals then Cp...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
AbstractIt is shown that the space Cp(τω) is a D-space for any ordinal number τ, where τω={α⩽τ:cf(α)...
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 ...
summary:We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by s...
summary:We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by s...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
AbstractWe show that every first-countable countably paracompact Lindelöf T1-space has cardinality a...
summary:It is shown that if $X$ is a first-countable countably compact subspace of ordinals then $C_...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
summary:We show that if $X$ is first-countable, of countable extent, and a subspace of some ordinal,...
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...
Abstract. It is shown that if X is a first-countable countably compact subspace of ordi-nals then Cp...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
summary:Let $X$ be a compact Hausdorff space with a point $x$ such that $X\setminus \{ x\}$ is linea...
AbstractIt is shown that the space Cp(τω) is a D-space for any ordinal number τ, where τω={α⩽τ:cf(α)...
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 ...
summary:We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by s...
summary:We investigate how the Lindelöf property of the function space $C_p(X,Y)$ is influenced by s...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
AbstractWe show that every first-countable countably paracompact Lindelöf T1-space has cardinality a...