Homotopy

id: homotopy-176-9962815
title: Homotopy
text: In topology, a branch of mathematics, 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 compa
brand slug: wiki
category slug: encyclopedia
description: Continuous deformation between two continuous functions
original url: https://en.wikipedia.org/wiki/Homotopy
date created: 2003-04-18T03:55:32Z
date modified: 2024-09-03T19:34:45Z
main entity: {"identifier":"Q746083","url":"https://www.wikidata.org/entity/Q746083"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/7e/HomotopySmall.gif","width":220,"height":161}
fields total: 13
integrity: 16

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