Add to ORKGWe prove that if a Banach space X admits a Lipschitz β-smooth bump function, then (X ∗ , weak ∗ ) is fragmented by a metric, generating a topology, which is stronger than the τβ -topology. We also use this to prove that if X ∗ admits a Lipschitz Gateaux-smooth bump function, then X is sigma-fragmentable
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
AbstractIn this paper we show that although (ℓ∞/c0,weak) is sigma-fragmented by some metric it canno...
Abstract. We prove that if a Banach spaceX admits a Lipschitz β-smooth bump function, then (X∗, weak...
AbstractLet (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ)...
In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_de...
AbstractWe characterize two topological properties in Banach spaces of type C(K), namely, being σ-fr...
AbstractLet (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ)...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
AbstractWe give a brief survey of classical and recent results concerning smooth bump functions on B...
We present an example in ZFC of a locally compact, scattered Hausdorff non-Gruenhage space $D$ havin...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
AbstractIn this paper we show that although (ℓ∞/c0,weak) is sigma-fragmented by some metric it canno...
Abstract. We prove that if a Banach spaceX admits a Lipschitz β-smooth bump function, then (X∗, weak...
AbstractLet (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ)...
In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_de...
AbstractWe characterize two topological properties in Banach spaces of type C(K), namely, being σ-fr...
AbstractLet (X,τ) be a topological space and let ρ be a metric defined on X. We shall say that (X,τ)...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
summary:We improve a theorem of P.G. Georgiev and N.P. Zlateva on G\^ateaux differentiability of Lip...
AbstractWe give a brief survey of classical and recent results concerning smooth bump functions on B...
We present an example in ZFC of a locally compact, scattered Hausdorff non-Gruenhage space $D$ havin...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
Abstract. We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdo...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
Weakly compact sets in Banach spaces are fragmentable. We introduce the weaker notion of the a-fragm...
AbstractIn this paper we show that although (ℓ∞/c0,weak) is sigma-fragmented by some metric it canno...