New answers tagged simplicial-stuff
1
vote
Morphisms of hammocks in the simplicial localization
The link in the OP leads to a thread with an answer by Charles Rezk, who wrote
For each "shape" of zig-zag, there is a "hammock category" for it... whose objects are functors $f\...
3
votes
Accepted
How to prove a 1-localization of a 1-category is already an $(\infty,1)$-localization?
A great reference for these types of questions is Cisinski's book Higher categories and homotopical algebra. Definition 2.2.8 on page 35 is for one-categorical localization, and Definition 7.1.2 on ...
12
votes
Plus construction on Simplicial Sets?
The answer is yes. This is spelled out in the book The local structure of algebraic K-theory by Bjørn Ian Dundas, Thomas G. Goodwillie and Randy McCarthy. Check out Section 1.6.1 on page 26, where ...
2
votes
Is the category of simplicial $R$-modules closed monoidal?
The category of simplicial $R$-modules is the category of $R$-modules in the closed symmetric monoidal category of simplicial sets. I wrote an answer last week with references explaining why such ...
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