What does betti number mean?

Definitions for betti number
bet·ti num·ber

This dictionary definitions page includes all the possible meanings, example usage and translations of the word betti number.


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Wiktionary

  1. Betti numbernoun

    A number associated to each topological space and each dimension, giving an approximate number of holes of that dimension in that space.

  2. Etymology: After Enrico Betti, Italian mathematician.

Wikidata

  1. Betti number

    In algebraic topology, a mathematical discipline, the Betti numbers can be used to distinguish topological spaces. Intuitively, the first Betti number of a space counts the maximum number of cuts that can be made without dividing the space into two pieces. Each Betti number is a natural number or +∞. For the most reasonable finite-dimensional spaces, the sequence of Betti numbers is 0 from some points onwards, and they are all finite. The term "Betti numbers" was coined by Henri Poincaré after Enrico Betti.

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Numerology

  1. Chaldean Numerology

    The numerical value of betti number in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of betti number in Pythagorean Numerology is: 3

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"betti number." Definitions.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.definitions.net/definition/betti+number>.

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