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» Sublocales in formal topology
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JSYML
2007
97views more  JSYML 2007»
13 years 10 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
APAL
2010
141views more  APAL 2010»
13 years 11 months ago
Locatedness and overt sublocales
Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to ...
Bas Spitters
JANCL
2002
90views more  JANCL 2002»
13 years 10 months ago
A Topological Constraint Language with Component Counting
A topological constraint language is a formal language whose variables range over certain subsets of topological spaces, and whose nonlogical primitives are interpreted as topologi...
Ian Pratt-Hartmann
ENTCS
2000
66views more  ENTCS 2000»
13 years 10 months ago
Formal topology and domains
Giovanni Sambin
JSYML
2000
77views more  JSYML 2000»
13 years 10 months ago
Formal Topologies on The Set of First-Order Formulae
Thierry Coquand, Sara Sadocco, Giovanni Sambin, Ja...