pointless topology
pointless topology noun: an approach to topology that avoids mentioning points.
Noun
pointless topology (usually uncountable, plural pointless topologies)
- An approach to topology that avoids mentioning points.
- The works of Ehresmann [1957/58], Benabou [1957/58], Papert and Papert [1957/58] give rise to pointless topology, i.e. an abstract treatment of a class of lattices (the frames) extending the class whose members are the lattices of open sets of the topological spaces.1995, Francis Buekenhout, editor, Handbook of Incidence Geometry: Buildings and Foundations, North-Holland: Elsevier, page 1018
- 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.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
- Synonyms:
- locale theory, pointfree topology
Synonyms of pointless topology
Forms of pointless topology
| plural | pointless topologies |
|---|
Questions about pointless topology
- What does pointless topology mean?
- Pointless topology means an approach to topology that avoids mentioning points.
- What part of speech is pointless topology?
- Pointless topology is a noun.
- What is the plural of pointless topology?
- The plural of pointless topology is pointless topologies.
Words near pointless topology in the dictionary
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Adapted from Wiktionary: pointless topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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