Geodesic
Recognition of connective commutative algebra spectra through an idempotent quasiadjunction
Vasconcellos Vieira, Renato1
1 Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, Brazil
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 295-338

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.295
Keywords: spectra, ring spectra, algebra spectra, loop space machines, operads, stable homotopy theory, infinite loop spaces, localization, model categories

Vasconcellos Vieira, Renato 1

1 Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, Brazil 
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Vasconcellos Vieira, Renato. Recognition of connective commutative algebra spectra through an idempotent quasiadjunction. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 295-338. doi: 10.2140/agt.2023.23.295

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