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        "quote": "有时可以比较集合 $X .$ 上的不同拓扑 $\\mathcal { O } _ { 1 }$ 与 $\\mathcal { O } _ { 2 }$。若 $\\mathcal { O } _ { 1 } \\supseteq \\mathcal { O } _ { 2 }$，则称 $\\mathcal { O } _ { 1 }$ 比 $\\mathcal { O } _ { 2 }$ 是 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:51ded9e4-c533-4884-81e6-0b62a8516850\" data-concept-route=\"/concept-identities#concept-51ded9e4-c533-4884-81e6-0b62a8516850\" id=\"first-743c72677d36d2d5a234-zh\">更细的拓扑(finer topology)</u> 或 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:b28960be-19c3-42ff-a50a-61fe827934e3\" data-concept-route=\"/concept-identities#concept-b28960be-19c3-42ff-a50a-61fe827934e3\" id=\"first-cf2639f491dfe774ba03-zh\">更强的拓扑(stronger topology)</u>。本质上，$\\mathcal { O } _ { 1 }$ 比 $\\mathcal { O } _ { 2 }$ 拥有更多开集。此时我们也称 $\\mathcal { O } _ { 2 }$ 比 $\\mathcal { O } _ { 1 }$ 是 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:640c9ebf-7397-4394-831d-69f5853ac5c8\" data-concept-route=\"/concept-identities#concept-640c9ebf-7397-4394-831d-69f5853ac5c8\" id=\"first-5ae3298caec95b3768f4-zh\">更粗的拓扑(coarser topology)</u> 或 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:e1980619-7994-4c07-9945-6a75719f35d0\" data-concept-route=\"/concept-identities#concept-e1980619-7994-4c07-9945-6a75719f35d0\" id=\"first-ecae0598f69530a51154-zh\">更弱的拓扑(weaker topology)</u>。",
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