Étale Homotopy Theory
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Master Thesis
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Abstract
In this thesis the étale homotopy type of a scheme is constructed, using modern higher category theory and shape theory. This is an invariant of a scheme. This then is compared to the orginal definition from the 60's and the condensed shape derived from the pro-étale site.
Keywords
étale homotopy; étale cohomology; pro-étale site; homotopy theory; higher topos theory; shape theory