Englisch-Französisch Übersetzung für betti number
Definition für betti number
- Any of a sequence of numbers, denoted ''bn'', which characterise a given topological space ''K'by giving, for each dimension, the number of holes in ''K'of said dimension; the rank of the ''n''th homology group, ''Hn'', of ''K''
Anwendungsbeispiele
- Poincaré proved that Betti numbers are invariants and used them to extend Eulers polyhedral formula to higher dimensional spaces
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