Every Δ⁰₂ Polish space is computable topological-Reference-Cited by-同舟云学术

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Every Δ⁰₂ Polish space is computable topological

Published:2024-05-07 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bazhenov Nikolay,Melnikov Alexander,Ng Keng Meng

Abstract

We show that every Δ 2 0 \Delta ^0_2 Polish space admits a computable topological presentation given by an effective indexing of some non-empty open sets in the space.

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

American Mathematical Society (AMS)

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2024-16797-6/proc16797_AM.pdf

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5. Computably compact metric spaces;Downey, Rodney G.;Bull. Symb. Log.,2023

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