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Oct 5, 2017 at 16:46 answer added Mike Shulman timeline score: 8
Oct 4, 2017 at 19:56 comment added A. G @PeterLeFanuLumsdaine, yes, by the notion “quasicategories” I mean such Categories which objects form a conglomerate in the sense of “Abstract and Concrete Categories” book.
Oct 4, 2017 at 19:51 comment added A. G @ArnaudD., yes, your comment is correct!
Oct 4, 2017 at 16:02 answer added Peter LeFanu Lumsdaine timeline score: 5
Oct 4, 2017 at 15:34 comment added Arnaud D. And if my comment above is correct, $\mathbf{Sgr}$ is the category of semi-groups.
Oct 4, 2017 at 15:29 comment added Arnaud D. @PeterLeFanuLumsdaine From previous questions of OP, I think the reference here is the book "Abstract and Concrete Categories" of Adamek, Herrlich and Strecker. In particular, this affirmation appears there as Definition 4.6 and Examples 4.7, with a reference to this book : amazon.com/…
Oct 4, 2017 at 14:57 comment added Peter LeFanu Lumsdaine A few things that would be helpful to clarify: (1) What category do you mean by $\mathbf{Sgr}$? (2) Could you add a reference for the statement “we know” that you give here? (3) Presumably by “category” you are meaning “locally small category”: i.e. objects may form a proper class (alternatively, a large set), but each hom-set must be a set (alternatively, a small set)? (Also, I presume you mean “quasicategories” in the sense of “large categories” — today, quasi-categories is much more commonly used with a quite different meaning.)
Oct 4, 2017 at 14:13 history edited Ben McKay CC BY-SA 3.0
grammar
Oct 4, 2017 at 13:57 history asked A. G CC BY-SA 3.0