V. Valov

collaborators

6 papers

math.GN2026

Bounded uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

Mikolaj Krupski, Vesko Valov

For any Tychonoff space $X$ let $C_{p} (X)$ (resp., $C_{p}^{*} (X)$ ) be the set of all continuous (resp., and bounded) functions on $X$ with the pointwise convergence topology. Given Tycho…

math.GN2026

Linear continuous operators with bounded supports

Vesko Valov

For any Tychonoff space $X$ let $D (X)$ be either the set $C (X)$ of all continuous functions on $X$ or the set $C^{*} (X)$ of all bounded continuous functions on $X$ . When $D (X)$ is en…

math.GN2026

Uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

Vesko Valov

For any Tychonoff space $X$ let $C_{p} (X)$ (resp., $C_{p}^{*} (X)$ ) be the set of all continuous (resp., and bounded) functions on $X$ with the pointwise convergence topology. Given Tycho…

math.GN2025

On uniformly continuous surjections between function spaces

Ali Emre Eysen, Vesko Valov

We consider uniformly continuous surjections between $C_{p} (X)$ and $C_{p} (Y)$ (resp, $C_{p}^{*} (X)$ and $C_{p}^{*} (Y$ )) and show that if $X$ has some dimensional-like properties, then so does…

math.GN2025

Homology manifolds and homogeneous compacta

Vesko Valov

A non-trivial separable metric space $X$ is called an almost homology $n$ -manifold if the homology groups $H_{k} (X, X \ {x}, Z)$ are trivial for all $x \in X$ and all $…

math.GN2025

On uniformly continuous surjections between $C_{p}$ -spaces over metrizable spaces

A. Eysen, A. Leiderman, V. Valov

Let $X$ be metrizable, $Y$ be perfectly normal and suppose that there exists a uniformly continuous surjection $T : C_{p} (X) \to C_{p} (Y)$ (resp., $T : C_{p}^{*} (X) \to C_{p}^{*} (Y)$ ), w…

Bounded uniform homeomorphisms between Cp∗​-spaces preserve pseudocompactness

Linear continuous operators with bounded supports

Uniform homeomorphisms between Cp∗​-spaces preserve pseudocompactness

On uniformly continuous surjections between function spaces

Homology manifolds and homogeneous compacta

On uniformly continuous surjections between Cp​-spaces over metrizable spaces

Bounded uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

Uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

On uniformly continuous surjections between $C_{p}$ -spaces over metrizable spaces