pointless topology

== English == === Noun === pointless topology (usually uncountable, plural pointless topologies) (mathematics) An approach to topology that avoids mentioning points. Synonyms: locale theory, pointfree topology Coordinate term: point-set topology 1997, Stephen C. Hirtle, Andrew U. Frank (editors), Spatial Information Theory A Theoretical Basis for GIS: International Conference COSIT '97, Proceedings, Springer, LNCS 1329, page 170, Pointless topology is more general than point-set topology in that there are complete Heyting algebras which do not come from the open set lattices of topological spaces. 2001, Peter Johnstone, Elements of the History of Locale Theory, C.E. Aull, R. Lowen (editors), Handbook of the History of General Topology, Volume 3, Kluwer Academic, page 841, Banaschewski was to become one of the most prolific authors on pointless topology, and in particular on its constructive and choice-free aspects, in the next three decades. ==== Further reading ==== pointless topology on Wikipedia.Wikipedia Whitehead's point-free geometry on Wikipedia.Wikipedia Stone duality on Wikipedia.Wikipedia