English

Recognition of commutative algebra spectra through an idempotent quasiadjunction

Algebraic Topology 2023-04-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2101.03052,
  title  = {Recognition of commutative algebra spectra through an idempotent quasiadjunction},
  author = {Renato Vasconcellos Vieira},
  journal= {arXiv preprint arXiv:2101.03052},
  year   = {2023}
}

Comments

36 pages, 5 figures