Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Recognition of connective commutative algebra spectra through an idempotent quasiadjunction

Renato Vasconcellos Vieira

Algebraic & Geometric Topology 23 (2023) 295–338
Abstract

A recognition principle for –loop pairs of spaces of connective commutative algebra spectra over connective commutative ring spectra is proved. This is done by generalizing the classical recognition principle for connective commutative ring spectra using relative operads. The machinery of weak Quillen quasiadjunctions, a generalization of Quillen adjunctions, is used to handle the model theoretical aspects of the proof.

Keywords
spectra, ring spectra, algebra spectra, loop space machines, operads, stable homotopy theory, infinite loop spaces, localization, model categories
Mathematical Subject Classification
Primary: 55P43, 55P48
Secondary: 55P42, 55P47, 55P60, 55P65
References
Publication
Received: 25 February 2021
Revised: 1 August 2021
Accepted: 12 October 2021
Published: 27 March 2023
Authors
Renato Vasconcellos Vieira
Instituto de Ciências Matemáticas e de Computação
Universidade de São Paulo
São Carlos
Brazil

Open Access made possible by participating institutions via Subscribe to Open.