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... >> Mathematics >> Algebraic Topology >> Homotopic

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Homotopic

• Definition: Two mathematical objects are said to be homotopic if one can be continuously deformed into the other. For example, the real line is homotopic to a single point, as is any tree. However, the circle is not contractible, but is homotopic to a solid torus.

  Source: http://mathworld.wolfram.com

• Listed under: Algebraic Topology, Mathematical Analysis