general topology
Sign in to saveAlso known as point-set topology, point set topology, basic topology
branch of topology dealing with general topological spaces
Wikidata facts
- Instance of
- branch of mathematics
- Part of
- topology
- Image
- Neighborhood illust3.svg
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- topic's main category
- Category:General topology
- Stack Exchange tag
- mathoverflow.net/tags/gn.general-topology
- Commons category
- General topology
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
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Encyclopedic overview
The Topologist's sine curve, a useful example in point-set topology. It is connected but not path-connected.
In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology.
Excerpted from Wikipedia’s “general topology” article, available under the CC BY-SA 4.0 licence.