Van Kampen theorems for categories of covering morphisms in lextensive categories

Journal of Pure and Applied Algebra

Volumn 119, Issue 3, 1997, Pages 255-263

  Brown, Ronald ^a   Janelidze, George ^b  

^a BANGOR UNIVERSITY   (United Kingdom)

^b A RAZMADZE MATHEMATICAL INSTITUTE   (Georgia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558122     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(96)00028-X     Document Type: Article

References (12)

1. [1] M. Barr and R. Diaconescu, On locally simply connected toposes and their fundamental groups, Cah. Top. Géom. Diff. Cat. XXII-3 (1981) 301-314.
2. [2] R. Brown, Groupoids and Van Kampen's theorem, Proc. London Math. Soc. (3) 17 (1967) 385-401.
3. [3] R. Brown, Topology: A Geometric Account of General Topology, Homotopy Types, and the Fundamental Groupoid (Ellis Horwood, Chichester, 1988).
4. [4] A. Carboni and G. Janelidze, Decidable (= separable) objects and morphismns in lextensive categories, J. Pure Appl. Algebra 110 (1996) 219-240.
5. [5] A. Carboni, G. Janelidze, G.M. Kelly and R. Paré, On localisation and stabilisation theorems for factorisation systems, Appl. Categorical Struct., to appear.
6. [6] A. Carboni, S. Lack and R.F.C. Walters, Introduction to extensive and distributive categories, J. Pure Appl. Algebra 84 (1993) 145-158.
7. [7] R. Douady and A. Douady, Algèbre et Théories Galoisienne: Vol. 2/ Théories Galoisiennes (Cedic/ Fernand Nathan, Paris, 1979).
8. [8] G. Janelidze, Precategories and Galois Theory, Lecture Notes in Math. 1488 (Springer, Berlin, 1991) 157-173.
9. [9] G. Janelidze, A note on Barr-Diaconescu covering theory, Cont. Math. 131 (1992) Part 3, 121-124.
10. [10] G. Janelidze and W. Tholen, Facets of descent, Appl. Categorical Struct. 2 (1994) 245-281.
11. [11] A.R. Magid, The Separable Galois Theory of Commutative Rings (Marcel Dekker, New York, 1974).
12. [12] A.R. Magid, A van Kampen theorem for separable algebras, Proc. Amer. Math. Soc. 39 (1973) 483-488.