English Explanatory Dictionary

Betti number

English dictionary entry

Meanings

noun
  1. 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; (formally) the rank of the nth homology group, Hₙ, of K.

Word forms

Betti number Betti numbers

Etymology

A calque of French nombre de Betti, coined in 1892 by Henri Poincaré; named after Italian mathematician Enrico Betti in recognition of an 1871 paper.

Related words

Poincaré polynomial
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