Representation of FS-domains Based on Closure Spaces

Lingjuan Yao, Qingguo Li · Electronic Notes in Theoretical Computer Science · 2019

In this paper, we propose the notion of FS-closure spaces by incorporating an additional structure into a given closure space, which provides a concrete representation of FS-domains. Furthermore, we prove that the category of FS-closure spaces with approximable mappings as morphisms is equivalent to that of FS-domains with Scott-continuous functions as morphisms.

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