Exact Filters and Joins of Closed Sublocales

Authors

R. N. Ball, University of Denver
M. A. Moshier, Chapman UniversityFollow
A. Pultr, Charles University, Prague

Document Type

Article

Publication Date

3-7-2020

Abstract

We prove, for a general frame, that the sublocales that can be represented as joins of closed ones are, somewhat surprisingly, in a natural one-to-one correspondence with the filters closed under exact meets, and explain some subfit facts from this perspective. Furthermore we discuss the filters associated in a similar vein with the fitted sublocales.

Comments

This article was originally published in Applied Categorical Structures, volume 28, in 2020. https://doi.org/10.1007/s10485-020-09593-y

The link above is to a free read-only version of the article.

Recommended Citation

Ball, R.N., Moshier, M.A. & Pultr, A. Exact Filters and Joins of Closed Sublocales. Appl Categor Struct 28, 655–667 (2020). https://doi.org/10.1007/s10485-020-09593-y

Peer Reviewed

1

Copyright

Springer