Homotopy

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Wiktionary, Creative Commons Attribution/Share-Alike License
  • n. A continuous deformation of one continuous function to another.
  • n. A theory associating a system of groups to each topological space.
  • n. A system of groups associated to a topological space.
  • The Century Dictionary and Cyclopedia
  • n. The development of an embryo into an adult organism by a series of changes which occur in the parts of the body in which they occurred in the development of its parents.
  • Word Usage
    "Some details must be ironed out: for example, the investigation of loops which are very similar gives no insight into the structure of the space, so we work instead with sets of loops called homotopy classes One of the most useful tools in algebraic topology is the [[fundamental group]],"
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