The étale fundamental groupoid as a 2-terminal costack

DOI10.1215/21562261-2017-0041zbMath1472.14026arXiv1412.5473OpenAlexW1563135746MaRDI QIDQ2175458

Ilia Pirashvili

Publication date: 29 April 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5473

zbMATH Keywords

fundamental groupoidstackcostackassociated stackétale coveringSeifert-van Kampen

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items

Comparison of the colimit and the 2-colimit

Cites Work

• The fundamental groupoid as a terminal costack
• Two-dimensional sheaf theory
• Etale homotopy
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• Galois Categories
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