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单词 Geometric realization
释义

Geometric realization

中文百科

单纯集合 Simplicial set

(重定向自Geometric realization)

数学里,单纯集合simplical set)是范畴同伦论中一个构造,这是“良态”拓扑空间的一个纯代数模型。历史上,这个模型源自组合拓扑学特别是单纯复形。

英语百科

Simplicial set 单纯集合

(重定向自Geometric realization)

In mathematics, a simplicial set is a construction in categorical homotopy theory that is a pure algebraic model of the notion of a "well-behaved" topological space. Historically, this model arose from earlier work in combinatorial topology and in particular from the notion of simplicial complexes. Simplicial sets are used to define quasi-categories, a basic notion of higher category theory.

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