Topics: Topology - Point-Set Topology

Point-Set Topology

In mathematics, general 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. Another name for general topology is point-set topology.

The fundamental concepts in point-set topology are continuity, compactness, and connectedness.
Point-Set Topology
The Topologist's sine curve, a useful example in point-set topology. It is connected but not path-connected.
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