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Create annotation system (creates a ticket)

Manual annotation is the default. Approved files are written as sibling pages under kanbun/, hanmun/, or hanvan/ with the same filename as this source page.

Annotation system

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


# WORK_TITLE: 道路連通
# DISPLAY_TITLE: 道路連通
# AUTHOR:
# TIMES:
# PAGE_TITLE: 道路連通
# CATEGORIES:
註蓋當今數學之事，誠難僅以文述，而無符號，故凡數學之文，咸有漢字、拉丁字相易之事，以合文言、數學，則無論文理之人，皆可明之也。

道路連通者，路可達也。

定義

集甲曰道路連通者，凡二點必有道路相接也。又曰零連通也。

集甲曰弧連通者，凡二點必有道路相接，且道路為同胚映射也。

空間之最大道路連通子集，曰道路連通分支也。

性

道路連通乃拓撲不變量也。

道路連通者，
連通也。反之則不然。

連通分支，道路連通分支之並也。

流形者，
局部道路連通空間也。

道路連通之豪斯多夫空間，咸弧連通空間也。

例

歐几里德空間，道路連通也。

同心圓若干，不連通也。當中之圓，道路連通分支也。

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

Annotation-system text

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Add companion material (creates a ticket)

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Translation text

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AI assistance disclosure

AI-assisted What was assisted?

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Propose a text edit (creates a ticket)

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Edited text

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Up to 10 files and 20 MB for this ticket. HTML, XHTML, and SVG are rejected.

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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)

# WORK_TITLE: 道路連通 # DISPLAY_TITLE: 道路連通 # AUTHOR: # TIMES: # PAGE_TITLE: 道路連通 # CATEGORIES: 註蓋當今數學之事，誠難僅以文述，而無符號，故凡數學之文，咸有漢字、拉丁字相易之事，以合文言、數學，則無論文理之人，皆可明之也。道路連通者，路可達也。定義集甲曰道路連通者，凡二點必有道路相接也。又曰零連通也。集甲曰弧連通者，凡二點必有道路相接，且道路為同胚映射也。空間之最大道路連通子集，曰道路連通分支也。性道路連通乃拓撲不變量也。道路連通者，連通也。反之則不然。連通分支，道路連通分支之並也。流形者，局部道路連通空間也。道路連通之豪斯多夫空間，咸弧連通空間也。例歐几里德空間，道路連通也。同心圓若干，不連通也。當中之圓，道路連通分支也。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