1 citations · 1 across the 10 of their papers we have counts for
11 papers
A solution to the problem of the existence of a dense plastic subset of cardinality
Wojciech Bielas
Under the assumption , we give an example of a dense plastic subset of cardinality . This answers Problem 1 of arXiv:251…
On some modifications of the Niemytzki plane
Wojciech Bielas
We present a criterion that compares modifications of the Niemytzki plane. It follows that if usual tangent discs of the Niemytzki plane are replaced by triangles with bounded angl…
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…
A separate continuous function not feebly continuous
Wojciech Bielas
We construct a separate continuous function and a dense subset such that is not dense in…
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…
Homogeneous probability measures on the Cantor set
W. Bielas, W. Kubiś, M. Walczyńska
We show that every homeomorphism between closed measure zero subsets extends to a measure preserving auto-homeomorphism, whenever the Cantor set is endowed with a suitable probabil…
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…
On the center of distances
Wojciech Bielas, Szymon Plewik, Marta Walczyńska
In this paper we introduce the notion of the center of distances of a metric space, which is required for a generalization of the theorem by J. von Neumann about permutations of tw…
An example of a rigid -superuniversal metric space
Wojciech Bielas
For a cardinal a metric space is called to be -superuniversal whenever for every metric space with every partial isometry from a subset of into …