What does homotopy mean?
Definitions for homotopy
ho·mo·topy
This dictionary definitions page includes all the possible meanings, example usage and translations of the word homotopy.
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Wiktionary
homotopynoun
A continuous deformation of one continuous function to another.
homotopynoun
A theory associating a system of groups to each topological space.
homotopynoun
A system of groups associated to a topological space.
Wikipedia
Homotopy
In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, hə-MO-tə-pee; , HOH-moh-toh-pee) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.In practice, there are technical difficulties in using homotopies with certain spaces. Algebraic topologists work with compactly generated spaces, CW complexes, or spectra.
Wikidata
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology. In practice, there are technical difficulties in using homotopies with certain spaces. Algebraic topologists work with compactly generated spaces, CW complexes, or spectra.
Numerology
Chaldean Numerology
The numerical value of homotopy in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of homotopy in Pythagorean Numerology is: 1
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"homotopy." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/homotopy>.
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