Recognition of commutative algebra spectra through an idempotent quasiadjunction

Autor:	Vieira, Renato Vasconcellos
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Topology 55P42 55P43 55P47 55P48 55P65
Zdroj:	Algebr. Geom. Topol. 23 (2023) 295-338
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2023.23.295
Popis:	In this article a recognition principle for $\infty$-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 idempotent quasiadjunctions is used to handle the model theoretical aspects of the proof. Comment: 36 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.03052 Zobrazit plný text záznamu View this record from Arxiv