“Globular set”的意思、由来-开放百科全书

词条

Globular set

释义

References
External links

In category theory, a branch of mathematics, a globular set is a higher-dimensional generalization of a directed graph. Precisely, it is a sequence of sets equipped with pairs of functions such that

(Equivalently, it is a presheaf on the category of “globes”.) The letters "s", "t" stand for "source" and "target" and one imagines consists of directed edges at level n.

A variant of the notion was used by Grothendieck to introduce the notion of an ∞-groupoid. Extending Grothendieck's work, {{harv|Maltsiniotis|2010}} gave a definition of a weak ∞-category in terms of globular sets.

References

Dimitri Ara. On the homotopy theory of Grothendieck ∞ -groupoids. J. Pure Appl. Algebra, 217(7):1237–1278, 2013, arXiv:1206.2941 .
G. Maltsiniotis. Grothendieck ∞-groupoids and still another definition of ∞-categories, preprint, 2010.

External links

https://ncatlab.org/nlab/show/globular+set

1 : 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。