Abstract Formal topology is today an established topic in the development of constructive mathematics and constructive proofs for many classical results of general topology have be...
If a locale is presented by a "flat site", it is shown how its frame can be presented by generators and relations as a dcpo. A necessary and sufficient condition is deri...
Topological relationships between spatial objects represent important knowledge that users of geographic information systems expect to retrieve from a spatial database. A di cult t...
Eliseo Clementini, Paolino Di Felice, Peter van Oo...
The paper studies how the localic notion of sublocale transfers to formal topology. For any formal topology (not necessarily with positivity predicate) we define a sublocale to b...