Algebraic homotopy

id: algebraic-homotopy-204-8000487
title: Algebraic homotopy
text: In mathematics, algebraic homotopy is a research program on homotopy theory proposed by J.H.C. Whitehead in his 1950 ICM talk, where he described it as: The ultimate object of algebraic homotopy is to construct a purely algebraic theory, which is equivalent to homotopy theory in the same sort of way that 'analytic' is equivalent to 'pure' projective geometry. In spirit, the program is somehow similar to Grothendieck's homotopy hypothesis. However, according to Ronnie Brown, "Looking again at Esq
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original url: https://en.wikipedia.org/wiki/Algebraic_homotopy
date created: 2024-09-09T09:01:38Z
date modified: 2024-09-09T23:01:52Z
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