HOMOTOPY

Homotopy

In topology, two continuous functions from one topological space to another are called homotopic if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.

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homotopy

Noun

  1. A continuous deformation of one continuous function to another.
  2. A theory associating a system of groups to each topological space.
  3. A system of groups associated to a topological space.


The above text is a snippet from Wiktionary: homotopy
and as such is available under the Creative Commons Attribution/Share-Alike License.

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