Higher algebra最大的障碍就是理解Lurie的infty opeard和symmetric monoidal infty category的定义。这里我...
Title Higher Algebra Author(s) Jacob Lurie Publisher: Harvard University (2017) Hardcover/Paperback N/A eBook PDF (1553 pages) Language: English ISBN-10: N/A ISBN-13: N/A Share This: Book Description on This book is an informal and readable introduction to higher algebra at ...
粗略地说,所谓的意象(topos)是这种思想的延伸,我们希望意象 C 是具有某些性质的空间组成的范畴,而且具有上述关于 V - 充实范畴那样“在局部上”有足够大的操作范围,也就是要允许出现若干空间,并且整个 C 也要具有类似 Set 的那种收容的精神。 其实要从私心上说,我觉得层和(局部)赋环空间 → 意象和(局部)赋...
Description: Contents: Stable infinite-Categories; infinite-Operads; Algebras and Modules over infinte-Operads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on infinite-Categories; Algebra in the Stable Homotopy Category; Constructible Sheaves and Exit P...
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting re...
for A1,…,An∈Δ; the last “Exact” here means “multi-exact”, similarly to “multi-linear” in Linear Algebra. We recall furthermore from [8, Section 4] that composing with concatenation Δk→Δ,(A1,…,Ak)↦A1⋯Ak, turns every simplicial object X into a k-simplicial object Sub...
- Higher Algebra / Higher Geometry 高中时候本来想着走这条路,确实太难了没走下去,不过眼界倒是开了不少。 觉得以你的智商水平可以达到读懂的水平,还可以跟Jacob Lurie之类的professor写邮件交流,说不定就可以拿到推荐信进哈佛了。 另外可以去http://ncatlab.org看看,基本上每天都有更新,这是一个用Higher Cate...
In this case there is a model category structure on the category {\mathcal {M}}\text {-}{\text{ Cat }} of categories enriched in \mathcal {M}, due to Lurie, Berger and Moerdijk, and others, in which the weak equivalences are Dwyer-Kan equivalences (see Definition 5.7). This is ...
Author links open overlay panelPhilip Hackney a 1, Marcy Robertson b, Donald Yau cShow more OutlineAdd to Mendeley Share Cite https://doi.org/10.1016/j.aim.2020.107044Get rights and content Under an Elsevier user license Open archiveAbstract We present a homotopy theory for a weak version of...
All of these equivalences are given by truncations of Lurie's ∞-categorical bar and cobar constructions, hence the terminology "Koszul duality."doi:10.4310/HHA.2023.v25.n1.a3BEARDSLEY, JONATHANPROUX, MAXIMILIENHomology, Homotopy & Applications...