Übersetzung für 'Cech homology' von Englisch nach Deutsch

Cech homology [Čech homology]

Cech-Homologie {f} [Čech-Homologie]math.

• a number of concepts and theorems of topology bear Alexandrov's name: the Alexandrov compactification, the Alexandrov-Hausdorff theorem on the cardinality of a-sets, the Alexandrov topology, and the Alexandrov — Cech homology and cohomology.
• Shape theory associates with the Čech homology theory while homotopy theory associates with the singular homology theory.
• In 1936, Norman Steenrod constructed Čech cohomology by dualizing Čech homology.
• This is reflected in their pathological behavior with respect to various homology theories, in contrast with the standard properties of homology for simplicial complexes.