Word.ws English Dictionary

homotopies

homotopies is the plural of homotopy.

Meaning of homotopy

Noun

homotopy (countable and uncountable, plural homotopies)

  1. A continuous deformation of one continuous function or map to another.
    • The concept of homotopy represents a formalisation of the intuitive idea of a smooth deformation of one curve into another.
  2. (uncountable) The relationship between two continuous functions where homotopy from one to the other is evident.
  3. A theory associating a system of groups with each topological space.
  4. A system of groups associated with a topological space.

Questions about homotopies

What is homotopies the plural of?
Homotopies is the plural of homotopy.

Words near homotopies in the dictionary

  1. homotopes
  2. homotopic
  3. homotopical
  4. homotopically
  5. homotopicity
  6. homotopies
  7. homotoping
  8. homotops
  9. homotopy
  10. homotopy theories
  11. homotopy theory

Source and license

Adapted from Wiktionary: homotopies (page history and authors); homotopy (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “homotopies.” Word.ws, https://word.ws/homotopies. Based on Wiktionary, CC BY-SA 4.0.