准范畴中的简并

IF 0.5 4区数学 Q2 MATHEMATICS Journal of Homotopy and Related Structures Pub Date : 2018-02-24 DOI:10.1007/s40062-018-0199-1

Wolfgang Steimle

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引用次数: 9

摘要

在这篇笔记中，我们证明了具有弱Kan条件的半简单集合承认一个简单结构，只要任何对象允许幂等自等价。此外，任意两种简单结构的选择都会产生等价的拟范畴。该方法是纯组合的，并扩展到其他类别的半简单对象;特别是对满足西格尔条件的半简单空间(半西格尔空间)。

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Degeneracies in quasi-categories

In this note we show that a semisimplicial set with the weak Kan condition admits a simplicial structure, provided any object allows an idempotent self-equivalence. Moreover, any two choices of simplicial structures give rise to equivalent quasi-categories. The method is purely combinatorial and extends to semisimplicial objects in other categories; in particular to semi-simplicial spaces satisfying the Segal condition (semi-Segal spaces).

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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