| 词条 | Homotopy hypothesis |
| 释义 |
In category theory, a branch of mathematics, Grothendieck's homotopy hypothesis states that the ∞-groupoids are equivalent to the topological spaces. If we model our ∞-groupoids as Kan complexes, then the homotopy types of the geometric realizations of these sets give models for every homotopy type. It is conjectured that there are many different "equivalent" models for ∞-groupoids all which can be realized as homotopy types. See also
References
External links
2 : Homotopy theory|Higher category theory |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。