📜 Theorem, law or theory

Seifert–van Kampen theorem

Teorema de Seifert-van Kampen

Date
1931-1933 · confidence low
Place
Leipzig, Saxony, Germany
Credited to
Egbert van Kampen y Herbert Seifert
Field
Knowledge & symbols

What was discovered

Algebraic topology theorem, due to Herbert Seifert and Egbert van Kampen, which computes the fundamental group of a space from the fundamental groups of two open, path-connected subspaces covering it.

What it led to

  • Standard tool for computing fundamental groups of complex spaces
  • Applications in the classification of surfaces and knots
  • Later extensions via fundamental groupoids

Links

Sources✓ verified 2026-09-28