The purpose of this paper is to give higher cardinality versions of countable fan tightness of function spaces obtained by A. Arhangel’skiı. Let vet(X), ωH(X) and H(X) denote respectively the fan tightness, ω-Hurewicz number and Hurewicz number of a space X, then vet(Cp(X)) = ωH(X) = sup{H(Xn) : n 2 N}
Many classically used function space structures (including the topology of pointwise convergence, th...
AbstractWe explore the closure preserving properties of bases for the space Ck(F) of continuous real...
AbstractWe present three examples of countable spaces with a single nonisolated point. The first giv...
summary:Properties similar to countable fan-tightness are introduced and compared to countable tight...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
AbstractGive κ the discrete topology and ω + 1 the order topology. The κ-fan Fκ is the quotient spac...
AbstractGiven a Hausdorff space X, we calculate the tightness and the character of the hyperspace CL...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
Given a Hausdorff space X, we calculate the tightness and the character of the hyperspace CL∅(X) of ...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
AbstractWe characterize the given extent in finite powers of X in terms of the topology of Cp(X). It...
Abstract. In this paper, we study some properties of spaces hav-ing countable tightness and spaces h...
AbstractThe countable spaces whose product with the sequential fan Sc have countable tightness are c...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
AbstractFor a Tychonoff space X we denote by Cp(X) the space of all real-valued continuous functions...
Many classically used function space structures (including the topology of pointwise convergence, th...
AbstractWe explore the closure preserving properties of bases for the space Ck(F) of continuous real...
AbstractWe present three examples of countable spaces with a single nonisolated point. The first giv...
summary:Properties similar to countable fan-tightness are introduced and compared to countable tight...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
AbstractGive κ the discrete topology and ω + 1 the order topology. The κ-fan Fκ is the quotient spac...
AbstractGiven a Hausdorff space X, we calculate the tightness and the character of the hyperspace CL...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
Given a Hausdorff space X, we calculate the tightness and the character of the hyperspace CL∅(X) of ...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
AbstractWe characterize the given extent in finite powers of X in terms of the topology of Cp(X). It...
Abstract. In this paper, we study some properties of spaces hav-ing countable tightness and spaces h...
AbstractThe countable spaces whose product with the sequential fan Sc have countable tightness are c...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
AbstractFor a Tychonoff space X we denote by Cp(X) the space of all real-valued continuous functions...
Many classically used function space structures (including the topology of pointwise convergence, th...
AbstractWe explore the closure preserving properties of bases for the space Ck(F) of continuous real...
AbstractWe present three examples of countable spaces with a single nonisolated point. The first giv...
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