16 citations · 40 across the 20 of their papers we have counts for
5 papers · 1 filter
Large free sets in universal algebras
Taras Banakh, Artur Bartoszewicz, Szymon Głab
We prove that for each universal algebra of cardinality and an infinite set of cardinality , the -th power $(A^X,\mathcal A^X…
Algebraic and topological properties of some sets in
T. Banakh, A. Bartoszewicz, Sz. Glab +1
For a sequence , one can consider the set of all subsums of series . Guthrie and Nymann proved that is one of th…
The continuity properties of compact-preserving functions
Taras Banakh, Artur Bartoszewicz, Marek Bienias +1
A function between topological spaces is called {\em compact-preserving} if the image of each compact subset is compact. We prove that a function $f:…
Spaceability and algebrability of sets of nowhere integrable functions
Szymon Glab, Pedro L. Kaufmann, Leonardo Pellegrini
We show that the set of Lebesgue integrable functions in which are nowhere essentially bounded is spaceable, improving a result from [F. J. García-Pacheco, M. Martín, and J…
Positive solutions for anisotropic discrete BVP
Marek Galewski, Szymon Glab, Renata Wieteska
Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution of the anisotropic discrete Dirichlet boundary value prob…