2 citations · 5 across the 19 of their papers we have counts for
20 papers
Homeomorphisms between compact subsets of real numbers
Sławomir Kusiński, Szymon Plewik
We first present a reduction of properties of compact sets of real numbers to properties of countable orders. Then discuss a variant of homogeneity of compact subsets of real numbe…
On compact subsets of the reals
Wojciech Bielas, Mateusz Kula, Szymon Plewik
Motivated by results of J. R. Kline and R. L. Moore (1919) that a compact subset of the plane, homeomorphic to a subset of the reals, lies on the arc, we give a purely topological…
Scattered -spaces of weight
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We examine dimensional types of scattered -spaces of weight . Such spaces can be embedded into . There are established similarities between dimensional types of scatte…
Dimensional types and P-spaces
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We investigate the category of discrete topological spaces, with emphasis on inverse systems of height . Their inverse limits belong to the class of -spaces, which allows u…
The Niemytzki plane is kappa-metrizable
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We try to explain the differences between the concepts of stratifiable space and -metrizable space. In particular, we give a characterization of -metrizable s…
On RC-spaces
Wojciech Bielas, Szymon Plewik
Following Frink's characterization of completely regular spaces, we say that a regular T_1-space is an RC-space whenever the family of all regular open sets constitutes a regular n…