van Kampen theorems for toposes

DOI10.1016/S0001-8708(03)00010-0zbMath1030.18003OpenAlexW2027866234MaRDI QIDQ1413097

Stephen Lack, Marta C. Bunge

Publication date: 16 November 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(03)00010-0

zbMATH Keywords

van Kampen theoremextensive 2-categorylextensive categorieslocally connected toposes

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topoi (18B25) Categorical methods in general topology (54B30) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (3)

On the representation theory of Galois and atomic topoi. ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems ⋮ Van Kampen Colimits and Path Uniqueness

Cites Work

• On the construction of the Grothendieck fundamental group of a topos by paths
• Pure Galois theory in categories
• Molecular toposes
• Introduction to extensive and distributive categories
• Spreads and the symmetric topos. II
• Modulated bicategories
• Van Kampen theorems for categories of covering morphisms in lextensive categories
• Exponentiability and single universes
• Spreads and the symmetric topos
• On a bicomma object condition for KZ-doctrines
• An extension of the Galois theory of Grothendieck
• An application of descent to a classification theorem for toposes
• The Classifying Topos of a Continuous Groupoid. I
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