Word.ws English Dictionary

homotopy theory

homotopy theory noun: the systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.

Noun

homotopy theory (countable and uncountable, plural homotopy theories)

  1. The systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.
    • Homotopy theory originated as a topic in algebraic topology, but is now studied as an independent discipline in its own right, and as a tool in fields including category theory and algebraic geometry.
    • 1988, Alex Heller, Homotopy Theories, American Mathematical Society, https://books.google.com.au/books?id=hkXUCQAAQBAJ&printsec=frontcover&dq=%22homotopy+theories%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiAzeb7qKfsAhUayTgGHeEyBZQQ6AEwAHoECAAQAg#v=onepage&q=%22homotopy%20theories%22&f=false.

homotopy theory meaning in Tamil

homotopy theory in Tamil

ஒரே படித்தான மாற்றுக்கோட்பாடு

Forms of homotopy theory

pluralhomotopy theories

Words formed from homotopy theory

  • abstract homotopy theory
  • A¹ homotopy theory
  • rational homotopy theory

Questions about homotopy theory

What does homotopy theory mean?
Homotopy theory means the systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.
What is homotopy theory in Tamil?
Homotopy theory in Tamil is ஒரே படித்தான மாற்றுக்கோட்பாடு. See Homotopy theory meaning in Tamil.
What part of speech is homotopy theory?
Homotopy theory is a noun.
What is the plural of homotopy theory?
The plural of homotopy theory is homotopy theories.

Words near homotopy theory in the dictionary

  1. homotopies
  2. homotoping
  3. homotops
  4. homotopy
  5. homotopy theories
  6. homotopy theory
  7. homotosis
  8. homotoxicology
  9. homotoxin
  10. homotoxins
  11. homotransphobia

Source and license

Adapted from Wiktionary: homotopy theory (page history and authors); homotopy theory (Tamil Wiktionary) (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: “homotopy theory.” Word.ws, https://word.ws/homotopy_theory. Based on Wiktionary, CC BY-SA 4.0.