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arXiv · 1812.11637

Extended \'etale homotopy groups from profinite Galois categories

Peter J. Haine
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Abstract

In this note we show that the protruncated shape of a spectral $\infty$-topos is a delocalization of its profinite stratified shape. This gives a way to reconstruct the extended \'etale homotopy groups (i.e., the non-profinitely complete \'etale homotopy groups) of a coherent scheme from its profinite Galois category.

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Peter J. Haine. 2018-12-30. Extended \'etale homotopy groups from profinite Galois categories. https://arxiv.org/abs/1812.11637

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