Separable commutative algebras and Galois theory in stable homotopy theories

URN to cite this document:: urn:nbn:de:bvb:355-epub-583714
DOI to cite this document:: 10.5283/epub.58371

Naumann, Niko ; Pol, Luca

License: Creative Commons Attribution Non-commercial 4.0
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Date of publication of this fulltext: 04 Jun 2024 06:00

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Abstract

We relate two different proposals to extend the étale topol-ogy into homotopy theory, namely via the notion of finite cover introduced by Mathew and via the notion of separable commutative algebra introduced by Balmer. We show that finite covers are precisely those separable commutative alge-bras with underlying dualizable module, which have a locally constant and finite degree function. We then ...