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Betti number∗ mathcam† 2013-03-21 16:19:13 Let X denote a topological space, and let Hk (X, Z) denote the k-th homology group of X. If Hk (X, Z) is finitely generated, then its rank is called the k-th Betti number of X. ∗ hBettiNumberi created: h2013-03-21i by: hmathcami version: h34498i Privacy setting: h1i hDefinitioni h55N10i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
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