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        "quote": "通常这被称为第$p$个<u class=\"concept-term\" data-concept-identity=\"urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e\" data-concept-route=\"/concept-identities#concept-02f7a498-5c17-4366-9479-8666d5f9bb2e\" id=\"first-10254fb45e81b1ade885-zh\">同调群(homology group)</u>，其中只有阿贝尔群性质是相关的。若两个循环$C _ { 1 }$与$C _ { 2 }$属于同一个同调类，即存在一个链$C$使得$C _ { 1 } - C _ { 2 } = \\partial C$，则称它们是<u class=\"concept-term\" data-concept-identity=\"urn:uuid:c15b2f02-2ed4-430f-b86c-876c372f938e\" data-concept-route=\"/concept-identities#concept-c15b2f02-2ed4-430f-b86c-876c372f938e\" id=\"first-5fa48f22e3b9d9c0bad1-zh\">同调的(homologous)</u>的。第$p$个同调空间的维数称为第$p$个<u class=\"concept-term\" data-concept-identity=\"urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981\" data-concept-route=\"/concept-identities#concept-7c7c4b86-63b1-451e-b0be-15f02ebca981\" id=\"first-fc63cc448792993af149-zh\">贝蒂数(Betti number)</u>，",
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