2 citations · 4 across the 10 of their papers we have counts for
5 papers · 1 filter
On symmetrizability and perfectness of second-countable spaces
Iryna Banakh, Taras Banakh, Lidiya Bazylevych
A symmetrizability criterion of Arhangelskii implies that a second-countable Hausdorff space is symmetrizable if and only if it is perfect. We present an example of a non-symmetriz…
The completion of the hyperspace of finite subsets, endowed with the -metric
Iryna Banakh, Taras Banakh, Joanna Garbulińska-Wȩgrzyn
For a metric space , let be the space of all nonempty finite subsets of endowed with the largest metric such that for every t…
On the asymptotic dimension of products of coarse spaces
Iryna Banakh, Taras Banakh
We prove that for any coarse spaces of asymptotic dimension , the product has asymptotic dimension . Another result state…
The continuity of Darboux injections between manifolds
Iryna Banakh, Taras Banakh
We prove that an injective map between connected metrizable spaces is continuous if for every connected subset the image is connected and one o…
The connected countable spaces of Bing and Ritter are topologically homogeneous
Iryna Banakh, Taras Banakh, Olena Hryniv +1
Answering a problem posed by the second author on Mathoverflow, we prove that the connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous.