3 papers
math.GN2020
Homeomorphisms of the space of non-zero integers with the Kirch topology
Yaryna Stelmakh
The (resp. ) topology on the set of nonzero integers is generated by the base consisting of arithmetic progressions $a+b\mathbb Z=\{a+bn:n\in\ma…
math.GN2020
A universal coregular countable second-countable space
Taras Banakh, Yaryna Stelmakh
A Hausdorff topological space is called (resp. ) if for any nonempty open sets , the intersection of the…
math.GN2019
The cometrizability of generalized metric spaces
Taras Banakh, Yaryna Stelmakh
A topological space is cometrizable if it admits a weaker metrizable topology such that each point has a (not necessarily open) neighborhood base consisting of metrica…