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Recognition of connective commutative algebra spectra through an idempotent quasiadjunction

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Author(s):
Vieira, Renato Vasconcellos
Total Authors: 1
Document type: Journal article
Source: Algebraic and Geometric Topology; v. 23, n. 1, p. 47-pg., 2023-01-01.
Abstract

A recognition principle for oo-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. (AU)

FAPESP's process: 20/06159-5 - Root and homotopy theory, manifold topology, stratified spaces, spherical spacial forms and topological dynamical systems
Grantee:Renato Vasconcellos Vieira
Support Opportunities: Scholarships in Brazil - Post-Doctoral