Topology Definitions: Closure, Boundary, Interior @MuPrimeMath
Topology Definitions: Closure, Boundary, Interior @MuPrimeMath
Uploaded January 2022 | Updated September 2026, 1 week ago
An explanation of how to define closure, boundary, and interior in topology using open and closed sets instead of a metric. Also explains adherence points. Intended as an introduction to basic concepts in topology.

Topology playlist: youtube.com/playlist?list=PLug5ZIRrShJEGnUPxM1KUVOHkW4kN6QU_

0:00 Intro
1:24 Closure
7:46 Boundary
11:05 Interior

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Music: C418 - Pr Department
Topology Definitions: Closure, Boundary, InteriorProof: Every Prime has a Primitive RootQuadratic Reciprocity using Gausss LemmaWhy Are Odd Numbers Not Even?Surjections and Bijections, and why they are useful.3: Complex Roots - Dissecting Differential EquationsEpsilon-Delta proofs: Cant we make the limit equal anything?Integral with some Very Big PowersComplex Finite/Infinite Product ExampleFunctions as Sums of ExponentialsCayleys Theorem Explanation: Every Group is a Permutation GroupRepresentation Theory: Irreducible Characters Are an Orthonormal Basis
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Topology Definitions: Closure, Boundary, Interior

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