AbstractAssuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every singular strong limit cardinal κ and ↗-normal space X such that for some χ<κ, every x∈X has a neighborhood base of size ⩽χ, if every closed discrete subspace of size <κ is σ-separated, then so is every closed discrete subspace of size κ. So for getting a model of the negation of σ-CWH, we require a large cardinal
If $V = L$, and $\mu$, $\kappa$ and $\lambda$ are three infinite cardinals with $\mu = {\rm cf} (\mu...
AbstractThe aim of this article is to prove that, given two potential functionals Ψ1, Ψ2 on W1,2(Ω) ...
In this paper we study the subspaces C_{1},C_{1}W,C_{1}F and C_{1}B for a locally convex FK-space X ...
AbstractWe strengthen the revised GCH theorem by showing, e.g., that for λ=cf(λ)>ℶω, for all but fin...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractSuppose that κ is an infinite cardinal, Vκ=⊕α<κRα is a vector space of dimension κ over R, τ...
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 ...
AbstractWe study various partition properties on Pκ(λ). Our main result asserts that if λ<λ<κ=λ<κ, t...
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of ...
AbstractWe give a simple proof of the increasing strengthening of Arhangelʼskii Theorem. Our proof n...
This paper continues a line of investigation of the Halpern--L\"{a}uchli Theorem at uncountable card...
[EN] We give sufficient conditions on a uniformly continuous map f: (X,U) → (Y, V ) between completa...
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...
If $V = L$, and $\mu$, $\kappa$ and $\lambda$ are three infinite cardinals with $\mu = {\rm cf} (\mu...
AbstractThe aim of this article is to prove that, given two potential functionals Ψ1, Ψ2 on W1,2(Ω) ...
In this paper we study the subspaces C_{1},C_{1}W,C_{1}F and C_{1}B for a locally convex FK-space X ...
AbstractWe strengthen the revised GCH theorem by showing, e.g., that for λ=cf(λ)>ℶω, for all but fin...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractSuppose that κ is an infinite cardinal, Vκ=⊕α<κRα is a vector space of dimension κ over R, τ...
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 ...
AbstractWe study various partition properties on Pκ(λ). Our main result asserts that if λ<λ<κ=λ<κ, t...
[EN] The purpose of this paper is to give higher cardinality versions of countable fan tightness of ...
AbstractWe give a simple proof of the increasing strengthening of Arhangelʼskii Theorem. Our proof n...
This paper continues a line of investigation of the Halpern--L\"{a}uchli Theorem at uncountable card...
[EN] We give sufficient conditions on a uniformly continuous map f: (X,U) → (Y, V ) between completa...
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...
If $V = L$, and $\mu$, $\kappa$ and $\lambda$ are three infinite cardinals with $\mu = {\rm cf} (\mu...
AbstractThe aim of this article is to prove that, given two potential functionals Ψ1, Ψ2 on W1,2(Ω) ...
In this paper we study the subspaces C_{1},C_{1}W,C_{1}F and C_{1}B for a locally convex FK-space X ...
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