Artur Piękosz

activity

20182020

collaborators

3 papers

math.GN2020

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.

math.GN2019

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…

math.GN2018

Compact complement topologies and k-spaces

Kyriakos Keremedis, Cenap Özel, Artur Piękosz +2

Let $(X, τ)$ be a Hausdorff space, where $X$ is an infinite set. The compact complement topology $τ^{⋆}$ on $X$ is defined by: $τ^{\star}=\{\emptyset\} \cup \{X\setminus M, \tex…