homology

Bedeutung

1. The relationship of being homologous; a homologous relationship.
2. The relationship of being homologous; a homologous relationship.
3. The relationship of being homologous; a homologous relationship.
4. The relationship of being homologous; a homologous relationship.
5. The relationship of being homologous; a homologous relationship.
6. The relationship of being homologous; a homologous relationship.
7. The relationship of being homologous; a homologous relationship.
8. The relationship of being homologous; a homologous relationship.
9. The relationship of being homologous; a homologous relationship.
10. The relationship of being homologous; a homologous relationship.

Etymologie

From homo- + -logy.
In topology, first used by French polymath Henri Poincaré, in the sense (close to what is now called a bordism) of a relation between manifolds mapped into a reference manifold: that is, the property of such manifolds that they form the boundary of a higher-dimensional manifold inside the reference manifold. Poincaré's version was eventually replaced by the more general singular homology, which is what mathematicians now mean by homology.

Sätze

Cohomology arises from the algebraic dualization of the construction of homology .

Die Kohomologie ergibt sich aus der algebraischen Dualisierung der Konstruktion der Homologie.