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Every \Delta^0_2 Polish space is computable topological.

Authors :
Bazhenov, Nikolay
Melnikov, Alexander
Ng, Keng Meng
Source :
Proceedings of the American Mathematical Society. Jul2024, Vol. 152 Issue 7, p3123-3136. 14p.
Publication Year :
2024

Abstract

We show that every \Delta ^0_2 Polish space admits a computable topological presentation given by an effective indexing of some non-empty open sets in the space. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*OPEN spaces
*BOREL sets

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
7
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
177610135
Full Text :
https://doi.org/10.1090/proc/16797