2 papers
math.GN2026
Basic zero-dimensional spaces: a unifying framework for continuity and openness
João Areias, Jorge Picado
Following a suggestion in a paper by Erné, Picado and Pultr, we establish the category of basic zero-dimensional spaces and their basic continuous maps. The objects are closure spa…
math.GN2026
Continuity and openness of maps on locales by way of Galois adjunctions
João Areias, Jorge Picado
We study four adjoint situations in pointfree topology that interchange images and preimages with closure and interior operators and establish with them a number of characterisatio…