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arXiv · 1903.02979

Computability on quasi-Polish spaces

Mathieu Hoyrup·Cristobal Rojas·Victor Selivanov·Donald M. Stull
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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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Mathieu Hoyrup, Cristobal Rojas, Victor Selivanov, Donald M. Stull. 2019-03-07. Computability on quasi-Polish spaces. https://arxiv.org/abs/1903.02979

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