5 citations · 12 across the 8 of their papers we have counts for
8 papers
André-Quillen Cohomology and -invariants of simplicial categories
David Blanc, Nicholas Meadows
Using the Harpaz-Nuiten-Prasma interpretation of the Dwyer-Kan-Smith cohomology of a simplicial category , we obtain a cochain complex for the André-Quillen cohomology…
Localization of -categories and spectral sequences
David Blanc, Nicholas Meadows
We describe two types of localization for -categories which determine the successive terms in the homotopy spectral sequence of a (co)simplicial object.
Higher Theories and Monads
Simon Henry, Nicholas J. Meadows
We extend Bourke and Garner's idempotent adjunction between monads and pretheories to the framework of -categories and we use this to prove many classical results about mon…
Spectral Sequences in -Categories
David Blanc, Nicholas Meadows
We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an -category, with an emphasis on how to construct the differentials in a model-invari…
Descent Theory and Mapping Spaces
Nicholas Meadows
The purpose of this paper is to develop a theory of -stacks, in the sense of Hirschowitz-Simpson's `Descent Pour Les n-Champs', using the language of quasi-category th…
Cocycles in Local Higher Category Theory
Nicholas Meadows
We develop a model structure on presheaves of small simplicially enriched categories on a site , for which the weak equivalences are 'stalkwise' weak equivalences for…
Local Complete Segal Spaces
Nicholas Meadows
We show that the complete Segal model structure extends to a model structure on bimplicial presheaves on a small site , for which the weak equivalences are local (or s…
The Local Joyal Model Structure
Nicholas Meadows
It is shown that the Joyal quasi-category model structure for simplicial sets extends to a model structure on simplicial presheaves, for which the weak equivalences are local (or s…