Dictionary.com
Thesaurus.com

homotopy

American  
[huh-mot-uh-pee, hoh-] / həˈmɒt ə pi, hoʊ- /

noun

Mathematics.
homotopies plural
  1. the relation that exists between two mappings in a topological space if one mapping can be deformed in a continuous way to make it coincide with the other.


Other Word Forms

Noun Inflected Forms

Etymology

Origin of homotopy

1915–20; homo- + -topy (< Greek tóp ( os ) place + -y 3, or < New Latin -topia )

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The researchers provide a unified skyrmion-hopfion homotopy classification and offer an insight into the diversity of topological solitons in three-dimensional chiral magnets.

From Science Daily • Nov. 22, 2023

In contrast, in the fundamental groupoid of the disk, there is only one path up to homotopy between any pair of points.

From Scientific American • Sep. 14, 2021

These proof assistants have a mechanism that mimics the common mathematical practice of transferring information about one thing to another thing that is understood to be the same via an explicit isomorphism or homotopy equivalence.

From Scientific American • Sep. 14, 2021

Vladimir Voevodsky revolutionized algebraic geometry and is best known for developing the new field of ‘motivic homotopy theory’.

From Nature

Motivic homotopy theory is blossoming, despite Voevodsky’s change of focus about ten years ago.

From Nature

Vocabulary.com logo
by dictionary.com

Look it up. Learn it forever.

Remember "homotopy" for good with VocabTrainer. Expand your vocabulary effortlessly with personalized learning tools that adapt to your goals.

Take me to Vocabulary.com