AbstractA family of J of open subsets of the real line is called an ω-cover of a set X iff every finite subset of X is contained in an element of J. A set of reals X is a γ-set iff for every ω-cover J of X there exists 〈Dn: n < ω〉ϵ Jω such that X⊆∪n∩m > n Dm. In this paper we show that assuming Martin's axiom there is a γ-set X of cardinality the continuum
AbstractWe study topological games motivated by selection procedures for families of open sets. We e...
AbstractBy a result of A.V. Arhangel'skiǐ and E.G. Pytkeiev, the space C(X) of the continuous real f...
AbstractE. Reznichenko and O. Sipacheva called a space X “Fréchet–Urysohn for finite sets” if the fo...
AbstractA family of J of open subsets of the real line is called an ω-cover of a set X iff every fin...
A topological space satisfies $\GNga$ (also known as Gerlits--Nagy's property $\gamma$) if every ope...
A set X ⊆ 2 ω is a λ ′-set iff for every countable set Y ⊆ 2 ω there exists a Gδ set G such that (X ...
AbstractWe continue to investigate various diagonalization properties for sequences of open covers o...
AbstractWhereas the Gerlits–Nagy γ property is strictly weaker than the Galvin–Miller strong γ prope...
AbstractA family {Mα|αϵA} is a shrinking of a cover {Oα|αϵA} of a topological space if {Mα|αϵA} also...
AbstractFor each space, Ufin(Γ,Ω) is equivalent to Sfin(Ω,Owgp) and this selection property has game...
AbstractIn this paper we show that for a set X of real numbers the function space Cp(X) has both a p...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
AbstractWe solve four out of the six open problems concerning critical cardinalities of topological ...
Abstract. We show that even for subsets X of the real line that do not con-tain perfect sets, the Hu...
In this paper we prove that if there is a Borel-cover γ-set of car-dinality the continuum, then ther...
AbstractWe study topological games motivated by selection procedures for families of open sets. We e...
AbstractBy a result of A.V. Arhangel'skiǐ and E.G. Pytkeiev, the space C(X) of the continuous real f...
AbstractE. Reznichenko and O. Sipacheva called a space X “Fréchet–Urysohn for finite sets” if the fo...
AbstractA family of J of open subsets of the real line is called an ω-cover of a set X iff every fin...
A topological space satisfies $\GNga$ (also known as Gerlits--Nagy's property $\gamma$) if every ope...
A set X ⊆ 2 ω is a λ ′-set iff for every countable set Y ⊆ 2 ω there exists a Gδ set G such that (X ...
AbstractWe continue to investigate various diagonalization properties for sequences of open covers o...
AbstractWhereas the Gerlits–Nagy γ property is strictly weaker than the Galvin–Miller strong γ prope...
AbstractA family {Mα|αϵA} is a shrinking of a cover {Oα|αϵA} of a topological space if {Mα|αϵA} also...
AbstractFor each space, Ufin(Γ,Ω) is equivalent to Sfin(Ω,Owgp) and this selection property has game...
AbstractIn this paper we show that for a set X of real numbers the function space Cp(X) has both a p...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
AbstractWe solve four out of the six open problems concerning critical cardinalities of topological ...
Abstract. We show that even for subsets X of the real line that do not con-tain perfect sets, the Hu...
In this paper we prove that if there is a Borel-cover γ-set of car-dinality the continuum, then ther...
AbstractWe study topological games motivated by selection procedures for families of open sets. We e...
AbstractBy a result of A.V. Arhangel'skiǐ and E.G. Pytkeiev, the space C(X) of the continuous real f...
AbstractE. Reznichenko and O. Sipacheva called a space X “Fréchet–Urysohn for finite sets” if the fo...
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