Exact Filters and Joins of Closed Sublocales
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.
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