Definitions

from The Century Dictionary.

  • Occurring at the same place in the offspring as in the parent.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective topology Such that there is an interval of maps joining one to the other.

Etymologies

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Examples

  • A space is termed simply connected if every loop in the space is homotopic to a constant loop.

    Conservapedia - Recent changes [en] 2009

  • Two paths γ0, γ1 are said to be homotopic if there is a continuous function

    Conservapedia - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • To prove carefully that paths going around the circle different numbers of times are not homotopic to each other requires a bit more machinery than is developed in this article.

    Conservapedia - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • If a pair of nuclei can be interchanged by rotation about an axis of symmetry of the molecule then they are chemically equivalent and are called homotopic. e.g. the pair of protons in dichloromethane are chemically equivalent.

    Citizendium, the Citizens' Compendium - Recent changes [en] 2009

  • Let us pass to another analogy for now: a particle moves around in a topological space, and we wish to describe its path as simply as possible, and such that two paths that may be deformed into each other (i.e., are homotopic), are given the same description.

    Conservapedia - Recent changes [en] 2009

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