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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\...
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3 votes
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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 ...
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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 ...
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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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