On the construction of the Grothendieck fundamental group of a topos by paths

DOI10.1016/S0022-4049(97)00163-1zbMath0876.18002OpenAlexW1999469781MaRDI QIDQ678834

Ieke Moerdijk, Marta C. Bunge

Publication date: 18 November 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00163-1

zbMATH Keywords

fundamental group of toposlocally constant sheavespath construction

Mathematics Subject Classification ID

Topoi (18B25) Fundamental group, presentations, free differential calculus (57M05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (7)

Difference Galois theory and dynamics ⋮ The Weil-étale fundamental group of a number field. II ⋮ van Kampen theorems for toposes ⋮ On the representation theory of Galois and atomic topoi. ⋮ The fundamental progroupoid of a general topos ⋮ An addendum to “Path-lifting for Grothendieck toposes" ⋮ Spreads and the symmetric topos. II

Cites Work

• Classifying toposes and foliations
• Continuous categories and exponentiable toposes
• The fundamental localic groupoid of a topos
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Toposes as homotopy groupoids
• An extension of the Galois theory of Grothendieck
• The Classifying Topos of a Continuous Groupoid. I
• Connected Locally Connected Toposes are Path-Connected
• Path-Lifting for Grothendieck Toposes
• An addendum to “Path-lifting for Grothendieck toposes"
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