homotopy theory
The systematic study of the situation of maps' having a homotopy between themThe systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.
Meaning
1 senses(countable, uncountable)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.
Forms
plural: homotopy theories| Singular | homotopy theory |
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| Plural | homotopy theories |
regular
Word family
2 related wordsLessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.