On the commutativity of the powerspace constructions

We investigate powerspace constructions on topological spaces, with a particular focus on the category of quasi-Polish spaces. We show that the upper and lower powerspaces commute on all quasi-Polish spaces, and show more generally that this commutativity is equivalent to the topological property of...

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Bibliographic Details
Main Authors: Matthew de Brecht, Tatsuji Kawai
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-08-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/3945/pdf