AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties of function spaces, Topology Appl. 154 (2007) 870–883], then there is a countable Y⊆X such that X∖Y is not Hurewicz.Along the way we answer a question of A. Miller by showing that an increasing countable union of γ-spaces is again a γ-space. We will also show that λ-spaces with the Hurewicz property are precisely those spaces for which every co-countable set is Hurewicz
AbstractA class C of topological spaces is said to be almost countably productive if ∏ni = 1 Xi ϵ C ...
Abstract. A γ-space with a strictly positive measure is separable. An example of a non-separable γ−s...
summary:We prove that if $X^n$ is a union of $n$ subspaces of pointwise countable type then the spac...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
AbstractArhangel'skiǐ defined a number of related properties called αi (i = 1, 2, 3, 4) having to do...
In this note we shall investigate some hereditary properties of a subspace of a product space. Let ...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
We identify four countable topological spaces $S_2$, $S_1$, $S_D$, and $S_0$which serve as canonical...
AbstractWe construct two non-submetrizable spaces of countable extent that have a Gδ-diagonal. Both ...
AbstractWe investigate Hurewicz properties introduced in [M. Menger, Sitzungberichte der Wiener Akad...
AbstractA T1-space X is called subnormal if every two disjoint closed subsets of X are contained in ...
AbstractWe prove that closed subspaces of countable products of σ-compact spaces are productively Li...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
summary:We prove that if $X^n$ is a union of $n$ subspaces of pointwise countable type then the spac...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
AbstractA class C of topological spaces is said to be almost countably productive if ∏ni = 1 Xi ϵ C ...
Abstract. A γ-space with a strictly positive measure is separable. An example of a non-separable γ−s...
summary:We prove that if $X^n$ is a union of $n$ subspaces of pointwise countable type then the spac...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
AbstractArhangel'skiǐ defined a number of related properties called αi (i = 1, 2, 3, 4) having to do...
In this note we shall investigate some hereditary properties of a subspace of a product space. Let ...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
We identify four countable topological spaces $S_2$, $S_1$, $S_D$, and $S_0$which serve as canonical...
AbstractWe construct two non-submetrizable spaces of countable extent that have a Gδ-diagonal. Both ...
AbstractWe investigate Hurewicz properties introduced in [M. Menger, Sitzungberichte der Wiener Akad...
AbstractA T1-space X is called subnormal if every two disjoint closed subsets of X are contained in ...
AbstractWe prove that closed subspaces of countable products of σ-compact spaces are productively Li...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
summary:We prove that if $X^n$ is a union of $n$ subspaces of pointwise countable type then the spac...
AbstractA property of a space is called hereditary if each subspace of the space possesses this prop...
AbstractA class C of topological spaces is said to be almost countably productive if ∏ni = 1 Xi ϵ C ...
Abstract. A γ-space with a strictly positive measure is separable. An example of a non-separable γ−s...
summary:We prove that if $X^n$ is a union of $n$ subspaces of pointwise countable type then the spac...
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