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In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n. In this more precise terminology, a manifold is referred to as an n-manifold.

Table of Contents

Articles & Posts

  1. Manifolds: A Gentle Introduction
  2. Differentiable manifolds and smooth maps, Theodore Voronov.

Videos

  1. Manifolds (playlist), Robert Davie (YouTube)
  2. What is a Manifold?, XylyXylyX (YouTube)

Books

  1. Manifold Learning Theory and Applications
  2. Differential Manifold: A Mathematical Approach for Experimental Physicists

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License

This project is licensed under the MIT License.