Computability on Quasi-Polish Spaces

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Abstract

We investigate the effectivizations of several equivalent definitions of quasi-Polish spaces and study which characterizations hold effectively. Being a computable effectively open image of the Baire space is a robust notion that admits several characterizations. We show that some natural effectivizations of quasi-metric spaces are strictly stronger.

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Hoyrup, M., Rojas, C., Selivanov, V., & Stull, D. M. (2019). Computability on Quasi-Polish Spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11612 LNCS, pp. 171–183). Springer Verlag. https://doi.org/10.1007/978-3-030-23247-4_13

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