• Corpus ID: 118677251

# The Operadic Nerve, Relative Nerve, and the Grothendieck Construction

@article{Beardsley2018TheON,
title={The Operadic Nerve, Relative Nerve, and the Grothendieck Construction},
author={Jonathan Beardsley and Liang Ze Wong},
journal={arXiv: Category Theory},
year={2018}
}
• Published 24 August 2018
• Mathematics
• arXiv: Category Theory

### BASIC CONCEPTS OF ENRICHED CATEGORY THEORY

• G. M. Kelly
• Mathematics
Elements of ∞-Category Theory
• 2005
Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory,

### Derived Algebraic Geometry II: Noncommutative Algebra

1 Monoidal ∞-Categories 4 1.1 Monoidal Structures and Algebra Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Cartesian Monoidal Structures . . . . . . . . . . . . . . . . . .

### Dwyer-Kan localization revisited

A version of Dwyer-Kan localization in the context of infinity-categories and simplicial categories is presented. Some results of the classical papers by Dwyer and Kan on simplicial localization are