Last Updated
：2025/11/22
Betti number
Noun
Japanese Meaning
位相空間の各次元における穴の数を表す数であり、特にn次ホモロジー群のランクとして定義される。 / （代数的位相幾何学において）ある位相空間の持つトポロジー的特徴を表現する数値で、各次元での穴の数を示す。
（ plural ）
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(topology, algebraic topology) 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.
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Betti number
The Betti number b_n of a topological space indicates the number of n-dimensional holes it contains.
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The Betti number b_n of a topological space indicates the number of n-dimensional holes it contains.
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