4 papers · 1 filter
The -construction as an equivalence between 2-Segal spaces and stable augmented double Segal spaces
Martina Rovelli
This note is a contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics". The conte…
Waldhausen's -construction
Viktoriya Ozornova, Martina Rovelli
This note is an expository contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-theory, Hall Algebras, and Combinatorics…
An -categorical straightening-unstraightening construction
Lyne Moser, Nima Rasekh, Martina Rovelli
We provide an -categorical version of the straightening-unstraightening construction, asserting an equivalence between the -category of double $(\infty,n-1)…
What is an equivalence in a higher category?
Viktoriya Ozornova, Martina Rovelli
The purpose of this survey is to present in a uniform way the notion of equivalence between strict -categories or -categories, and inside a strict -category o…