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AML
2002
70views more  AML 2002»
13 years 4 months ago
On the formal points of the formal topology of the binary tree
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...
Silvio Valentini
APAL
2006
73views more  APAL 2006»
13 years 5 months ago
Compactness in locales and in formal topology
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...
Steven J. Vickers
SSD
1993
Springer
237views Database» more  SSD 1993»
13 years 9 months ago
A Small Set of Formal Topological Relationships Suitable for End-User Interaction
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...
JSYML
2007
97views more  JSYML 2007»
13 years 4 months ago
Sublocales in formal topology
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...
Steven Vickers