Nicholas J. Meadows

activity

20182022

collaborators

5 papers

math.AT2022

Localization of $(\infty, 1)$ -categories and spectral sequences

David Blanc, Nicholas Meadows

We describe two types of localization for $(\infty, 1)$ -categories which determine the successive terms in the homotopy spectral sequence of a (co)simplicial object.

math.CT2021

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 $\infty$ -categories and we use this to prove many classical results about mon…

math.AT2020

Spectral Sequences in $(\infty, 1)$ -Categories

David Blanc, Nicholas Meadows

We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an $\infty$ -category, with an emphasis on how to construct the differentials in a model-invari…

math.AG2018

Descent Theory and Mapping Spaces

Nicholas Meadows

The purpose of this paper is to develop a theory of $(\infty, 1)$ -stacks, in the sense of Hirschowitz-Simpson's `Descent Pour Les n-Champs', using the language of quasi-category th…

math.CT2018

Cocycles in Local Higher Category Theory