JournalsprimsVol. 42, No. 3pp. 763–786

A General Seifert–Van Kampen Theorem for Algebraic Fundamental Groups

  • Jakob Stix

    Universität Bonn, Germany
A General Seifert–Van Kampen Theorem for Algebraic Fundamental Groups cover
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Abstract

A Seifert–Van Kampen theorem describes the fundamental group of a space in terms of the fundamental groups of the constituents of a covering and the configuration of connected components of the covering. Here we provide the combinatorial part of such a theorem for the most general sort of coverings. Thus a Seifert–Van Kampen theorem is reduced to a purely geometric statement of effective descent.

Cite this article

Jakob Stix, A General Seifert–Van Kampen Theorem for Algebraic Fundamental Groups. Publ. Res. Inst. Math. Sci. 42 (2006), no. 3, pp. 763–786

DOI 10.2977/PRIMS/1166642159