topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that...
29 KB (3,445 words) - 01:45, 28 August 2024
PDEs. Otherwise, Euler's equation may refer to a non-differential equation, as in these three cases: Euler–Lotka equation, a characteristic equation employed...
14 KB (1,603 words) - 16:45, 2 July 2024
geometry, the Euler characteristic of an orbifold, or orbifold Euler characteristic, is a generalization of the topological Euler characteristic that includes...
3 KB (370 words) - 01:22, 25 June 2024
fibration becomes trivial after taking a finite cover of B. The orbifold Euler characteristic χ ( B ) {\displaystyle \chi (B)} of the orbifold B is given by χ...
19 KB (3,040 words) - 11:33, 7 November 2023
Galois cohomology, the local Euler characteristic formula is a result due to John Tate that computes the Euler characteristic of the group cohomology of...
3 KB (478 words) - 18:11, 21 June 2022
important examples of characteristic numbers are Stiefel–Whitney numbers, Chern numbers, Pontryagin numbers, and the Euler characteristic. Given an oriented...
10 KB (1,460 words) - 07:40, 25 April 2024
polyhedron equals 2, a number now commonly known as the Euler characteristic. In the field of physics, Euler reformulated Newton's laws of physics into new laws...
102 KB (10,269 words) - 21:16, 9 July 2024
eigenvector of a matrix Characteristic word, a subclass of Sturmian word Euler characteristic, a topological invariant Method of characteristics, a technique for...
2 KB (258 words) - 09:13, 11 October 2021
is the Euler characteristic of M {\displaystyle M} . A particularly useful corollary is when there is a non-vanishing vector field implying Euler characteristic...
6 KB (867 words) - 12:53, 31 January 2024
Sheaf cohomology (redirect from Euler characteristic of a sheaf)
cohomology and singular cohomology such as Hodge theory, and formulas on Euler characteristics in coherent sheaf cohomology such as the Riemann–Roch theorem. In...
36 KB (5,832 words) - 15:01, 25 July 2024