Homotopy hypothesis
id:
homotopy-hypothesis-189-6246243
title:
Homotopy hypothesis
text:
In category theory, a branch of mathematics, Grothendieck's homotopy hypothesis states that the ∞-groupoids are spaces. One version of the hypothesis was claimed to be proved in the 1991 paper by Kapranov and Voevodsky. Their proof turned out to be flawed and their result in the form interpreted by Carlos Simpson is now known as the Simpson conjecture.
brand slug:
wiki
category slug:
encyclopedia
description:
Hypothesis that the ∞-groupoids are equivalent to the topological spaces
original url:
https://en.wikipedia.org/wiki/Homotopy_hypothesis
date created:
2013-11-03T22:31:03Z
date modified:
2024-09-09T09:47:29Z
main entity:
{"identifier":"Q16879377","url":"https://www.wikidata.org/entity/Q16879377"}
image:
fields total:
13
integrity:
15