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» Sublocales in formal topology
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JSYML
2007
97views more  JSYML 2007»
13 years 5 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 5 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 5 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 5 months ago
Formal topology and domains
Giovanni Sambin
JSYML
2000
77views more  JSYML 2000»
13 years 5 months ago
Formal Topologies on The Set of First-Order Formulae
Thierry Coquand, Sara Sadocco, Giovanni Sambin, Ja...