6 citations · 7 across the 3 of their papers we have counts for
4 papers
Hofmann-Lawson duality for locally small spaces
Artur Piękosz
We prove versions of the spectral adjunction, a Stone-type duality and Hofmann-Lawson duality for locally small spaces with bounded continuous mappings.
Locally small spaces with an application
Artur Piękosz
We develop the theory of locally small spaces in a new simple language and apply this simplification to re-build the theory of locally definable spaces over structures with topolog…
Compact complement topologies and k-spaces
Kyriakos Keremedis, Cenap Özel, Artur Piękosz +2
Let be a Hausdorff space, where is an infinite set. The compact complement topology on is defined by: $τ^{\star}=\{\emptyset\} \cup \{X\setminus M, \tex…
The minimizing vector theorem in symmetrized max-plus algebra
Cenap Özel, Artur Piękosz, Eliza Wajch +1
Assuming ZF and its consistency, we study some topological and geometrical properties of the symmetrized max-plus algebra in the absence of the axiom of choice in order to discuss…