Essential Completions of Topological Spaces Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2025, Volume: 64, Number: 3, Pages: 144–159 Pages count : 16 DOI: 10.1007/s10469-026-09821-9 | ||||
| Tags | essential completion, essential extension, ideal space, injective space, T0-space, topological semilattice. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00227 |
Abstract:
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.
Cite:
Ershov Y.L.
, Schwidefsky M.V.
Essential Completions of Topological Spaces
Algebra and Logic. 2025. V.64. N3. P.144–159. DOI: 10.1007/s10469-026-09821-9 WOS Scopus OpenAlex
Essential Completions of Topological Spaces
Algebra and Logic. 2025. V.64. N3. P.144–159. DOI: 10.1007/s10469-026-09821-9 WOS Scopus OpenAlex
Dates:
| Submitted: | Jun 15, 2025 |
| Accepted: | Oct 8, 2025 |
| Published print: | Apr 1, 2026 |
| Published online: | Apr 1, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001731141500001 |
| ≡ Scopus: | 2-s2.0-105034815574 |
| ≡ OpenAlex: | W7147244081 |