Corpus Viewer

Work: 緊集 Viewing: Source

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Summary

Reasoning

Digital keyboard

Kanbun-LM is not shown here because automatic generation is Japanese-only. This patch keeps the manual path as the default workflow.

Source page

緊集者，緊閉之所也。

定義

緊集者，咸開覆蓋皆有有限子覆蓋也。

觀度量空間，緊集者，同乎咸序列必有收斂之子序列也。

性

緊集之交，緊集也。

若干緊集之並，緊集也。

緊集之直積，緊集也。此乃吉洪諾夫定理，等價選擇公理
。

緊集之閉子集，緊集也。

緊乃拓撲不變量也。

例

歐幾里德空間之緊集，同乎有界之
閉集也。故三角，
矩形，
圓，
球，咸緊集也。

見

波爾查諾-維爾斯特拉斯定理

注

拓撲術語

拓撲

子空間

積空間

商空間

拓撲分類

點

內

外

極限點

孤點

周界

曲線

道路

開集

閉集

閉包

閉開集

分離

稠密

度量

距

有界

鄰域

覆蓋

緊集

連通

道路連通

單連通

局部

基

準基

連續

開函數

閉函數

同胚

同倫

拓撲不變量

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Metadata

Work ID: 92824
Document ID: 260119
Title: 緊集
Corpus root: 維基大典
Page title: 緊集
File: 緊集.txt
Path: 維基大典/clean/緊集/緊集.txt

Punctuation options

Preset Source Modern CJK (Traditional) Modern CJK (Simplified / PRC) Pure classical Strip Custom

Quotes

Family

Chinese quotation marks 「」『』 Latin speech marks “ ” ‘ ’ Chinese speech marks ＂＇ Off

Ordering

Traditional: 「甲『乙』丙」 Simplified: 『甲「乙」丙』 Vertical quote forms (﹁﹂﹃﹄)

Question / Exclamation Keep ？ Collapse ? → 。

Keep ！ Collapse ! → 。

Semicolon / Colon Keep ； Collapse ; → 。

Keep ： Collapse : → 。

Comma Use ， Use 、

Repetition mark No repetition mark (default) 々 (Horizontal) 〻 (Vertical) 二 (Western Zhou-style)

緊集者，緊閉之所也。定義緊集者，咸開覆蓋皆有有限子覆蓋也。觀度量空間，緊集者，同乎咸序列必有收斂之子序列也。性緊集之交，緊集也。若干緊集之並，緊集也。緊集之直積，緊集也。此乃吉洪諾夫定理，等價選擇公理。緊集之閉子集，緊集也。緊乃拓撲不變量也。例歐幾里德空間之緊集，同乎有界之閉集也。故三角，矩形，圓，球，咸緊集也。見波爾查諾-維爾斯特拉斯定理注拓撲術語拓撲子空間積空間商空間拓撲分類點內外極限點孤點周界曲線道路開集閉集閉包閉開集分離稠密度量距有界鄰域覆蓋緊集連通道路連通單連通局部基準基連續開函數閉函數同胚同倫拓撲不變量