V. Valov

activity

19992026

most citedExtension dimension and C-spaces

11 citations · 59 across the 68 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.GT2014

Local cohomological properties of homogeneous ANR compacta

Vesko Valov

In accordance with the Bing-Borsuk conjecture, we show that if X is an n-dimensional homogeneous metric ANR compactum and x\in X, then there is a local basis at x consisting of con…

math.GN2014

Locally $n$ -connected compacta and $U V^{n}$ -maps

Vesko Valov

We provide a machinery for transferring some properties of metrizable $A N R$ -spaces to metrizable $L C^{n}$ -spaces. As a result, we show that for complete metrizable spaces the propert…

math.GN2014

Skeletally generated spaces and absolutes

V. Valov

Some properties of skelatally generated spaces are established. In particular, it is shown that any compactum co-absolute to a $κ$ -metrizable compactum is skeletally generated. We…

math.GT2014

Homogeneous ANR-spaces and Alexandroff manifolds

V. Valov

We specify a result of Yokoi \cite{yo} by proving that if $G$ is an abelian group and $X$ is a homogeneous metric $A N R$ compactum with $dim_{G} X = n$ and $H ˇ^{n} (X; G) \neq = 0$ , the…

Local cohomological properties of homogeneous ANR compacta

Locally n-connected compacta and UVn-maps

Skeletally generated spaces and absolutes

Homogeneous ANR-spaces and Alexandroff manifolds

Locally $n$ -connected compacta and $U V^{n}$ -maps