AbstractA space X is said to be subnormal (=δ-normal) if every pair of disjoint closed sets can be separated by disjoint Gδ-sets. It is known that the product space (ω1+1)×ω1 is neither normal nor subnormal, moreover the subspace A×B of ω12 is not normal whenever A and B are disjoint stationary sets in ω1. We will discuss on subnormality of subspaces of ω12
AbstractLet a compact Hausdorff space X be the limit of a cofinite inverse system of compact Hausdor...
AbstractIn this paper, we characterize some operators and matrix transformations in the sequence spa...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractIn 1989, Chiba raised the problem of whether a σ-product of spaces, each finite subproduct o...
AbstractWe will characterize metacompactness, subparacompactness and paracompactness of subspaces of...
AbstractAssuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every...
AbstractWe give a simple proof of the increasing strengthening of Arhangelʼskii Theorem. Our proof n...
AbstractWe correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces...
AbstractA set A in a topological space X is called κ-closed if B⊂A whenever B⊂A and |B|<κ. A κ-hole ...
*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the autho...
AbstractWe investigate the completeness, closure and minimalty of the multiplicity system M(Λ)={tkeλ...
AbstractAssume that (X,Σ,μ) is a measure space and p1,…,pn, r>0. We prove that {(f1,…,fn)∈Lp1×⋯×Lpn:...
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof natural...
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof natural...
AbstractLet X be a Banach space with closed unit ball B. Given k∈N, X is said to be k-β, respectivel...
AbstractLet a compact Hausdorff space X be the limit of a cofinite inverse system of compact Hausdor...
AbstractIn this paper, we characterize some operators and matrix transformations in the sequence spa...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractIn 1989, Chiba raised the problem of whether a σ-product of spaces, each finite subproduct o...
AbstractWe will characterize metacompactness, subparacompactness and paracompactness of subspaces of...
AbstractAssuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every...
AbstractWe give a simple proof of the increasing strengthening of Arhangelʼskii Theorem. Our proof n...
AbstractWe correct the proof of Theorem 8 in “Normality and countable paracompactness of hyperspaces...
AbstractA set A in a topological space X is called κ-closed if B⊂A whenever B⊂A and |B|<κ. A κ-hole ...
*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the autho...
AbstractWe investigate the completeness, closure and minimalty of the multiplicity system M(Λ)={tkeλ...
AbstractAssume that (X,Σ,μ) is a measure space and p1,…,pn, r>0. We prove that {(f1,…,fn)∈Lp1×⋯×Lpn:...
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof natural...
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof natural...
AbstractLet X be a Banach space with closed unit ball B. Given k∈N, X is said to be k-β, respectivel...
AbstractLet a compact Hausdorff space X be the limit of a cofinite inverse system of compact Hausdor...
AbstractIn this paper, we characterize some operators and matrix transformations in the sequence spa...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
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