noun
Meaning 1
An approach to topology that avoids mentioning points.
Definition source: English Wiktionary via Wiktextract
Usage: uncountable, usually
Topics: mathematics, sciences
Examples
- 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.
Meaning relationships
Synonyms: locale theory, pointfree topology
Antonyms: none provided