Essential Completions of Topological Spaces

Essential Completions of Topological Spaces Full article

Journal

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Output data

Year: 2026, DOI: 10.1007/s10469-026-09821-9

Authors

Ershov Yu.L. ¹ , Schwidefsky M.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Scinences, Novosibirsk, Russia
2	Kazan (Volga Region) Federal University, Kazan, Russia

We obtain essential completions of topological T0-spaces with the help of ideal spaces. We also establish a connection between the essential completeness of function spaces and the essential completeness, as well as with the existence of approximation in the semilattice of open sets.

Ershov Y.L. , Schwidefsky M.V.
Essential Completions of Topological Spaces
Algebra and Logic. 2026. DOI: 10.1007/s10469-026-09821-9 OpenAlex

Submitted:	Jun 15, 2025
Accepted:	Oct 8, 2025
Published online:	Apr 1, 2026

≡ OpenAlex:

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