模板:Infobox mathematical statement

模板文件[檢視] [編輯] [歷史] [清除快取]

Poincaré conjecture

For compact 2-dimensional surfaces without boundary, if every loop can be continuously tightened to a point, then the surface is topologically homeomorphic to a 2-sphere (usually just called a sphere). The Poincaré conjecture, proved by Grigori Perelman, asserts that the same is true for 3-dimensional spaces.
類別	Theorem
領域	Geometric topology
陳述	Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
猜想提出者	Henri Poincaré
猜想提出年	1904
最初證明者	Grigori Perelman
最初證明年	2006
成立的必要條件	Geometrization conjecture Thurston elliptization conjecture
開放問題	No
推廣	Generalized Poincaré conjecture

Usage

The Template:Infobox mathematical statement generates a right-hand side infobox, based on the specified parameters. To use this template, copy the following code in your article and fill in as appropriate:

{{Infobox mathematical statement
| name =
| image =
| caption =
| type =
| field =
| statement =
| symbolic statement =
| conjectured by =
| conjecture date =
| first stated by =
| first stated in =
| first proof by =
| first proof date =
| open problem =
| known cases =
| implied by =
| equivalent to =
| generalizations =
| consequences =
}}

Parameters

All parameters are optional.

name

Name at the top of the infobox; should be the name of the statement, e.g. Strong multiplicity one theorem, Zorn's lemma. Defaults to page name.

image

Image, e.g. xxx.svg.

caption

Caption.

type

The current type of statement, e.g. Theorem, Conjecture, Lemma, Postulate, Axiom.

field

The branch(es) of mathematics to which the statement belong(s), e.g. Number theory, Algebraic geometry and algebraic topology.

statement

The mathematical statement.

symbolic statement

A symbolic version of the mathematical statement when a prose version is already given.

conjectured by

Name of person(s) who first posed the statement.

conjectured date

Date(s) of when the statement was first posed.

first stated by

Name of person(s) who first posed the statement (alternative to using the word "conjectured").

first stated date

Date(s) of when the statement was first posed (alternative to using the word "conjectured").

first proof by

Name of person(s) who first proved the statement.

first proof date

Date(s) of when the statement was first proven.

open problem

Is this an open problem? Typical values are Yes or No, though something more specific could be put here (e.g. Only one example known, etc.)

known cases

The cases for which the statement is known (e.g. For all function fields or For all r > 3).

implied by

Statement(s) that imply the current one.

equivalent to

Statement(s) that both imply and are implied by the current one.

generalizations

Statement(s) that generalize the current one.

consequences

Statement(s) that are implied by the current one.

Template data

Infobox for a logical statement in mathematics that can either be true or false. Can be used to describe theorems, conjectures, lemmas, postulates, and axioms.

模板參數[編輯模板資料]

此模板以參數區塊格式為優先。

參數		描述	類型	狀態
Title style	titlestyle	Inline CSS to style the title parameter.	字串	非必填
Name	name	Name of the mathematical statement that appears at the top of the infobox. 自動值 {{PAGENAMEBASE}}	頁面名稱	建議
Image	image	Image representing the mathematical statement.	檔案	建議
Image size	image_size imagesize	How large the image should be.	字串	建議
Alternative text	alt	Alternative text describing an image, which is spoken out loud by screen reader devices	字串	建議
Caption	caption	Descriptive text that appears below the image.	不明	建議
Type	type	Type of mathematical statement 建議值 [[定理|Theorem]] [[猜想|Conjecture]] {{tsl|en|Lemma||Lemma}} [[公理|Postulate]] <!-- 页面不存在 -->[[Axiom]]	內容	建議
Field	field	One or more branch that the mathematical statement falls under 範例 Convex geometry, algebraic topology	不明	建議
Statement	statement	The mathematical statement.	內容	建議
Symbolic statement	symbolic statement	A symbolic version of the mathematical statement when a prose version is already given.	內容	建議
Conjectured by	conjectured by	Name of person(s) who first posed the statement.	內容	建議
Conjectured in	conjecture date	Date(s) of when the statement was first posed.	內容	建議
First stated by	first stated by	Name of person(s) who first posed the statement (alternative to using the word "conjectured").	內容	建議
First stated in	first stated date	Date(s) of when the statement was first posed (alternative to using the word "conjectured").	內容	建議
First proof by	first proof by	Name of person(s) who first proved the statement.	內容	建議
First proof in	first proof date	Date(s) of when the statement was first proven.	內容	建議
Implied by	implied by	Statement(s) that imply the current one.	內容	建議
Open problem	open problem	Is this an open problem? Typical values are Yes or No, though something more specific could be put here. 建議值 Yes No Only one example known 範例 Only one example known	字串	建議
Known cases	known cases	The cases for which the statement is known.	不明	建議
Equivalent to	equivalent to	Statement(s) that both imply and are implied by the current one.	內容	建議
Generalizations	generalizations	Statement(s) that generalize the current one.	內容	建議
Consequences	consequences	Statement(s) that are implied by the current one.	內容	建議

See also

• WP:Infobox
• {{Infobox mathematical function}}

上述文件嵌入自Template:Infobox mathematical statement/doc。 (編輯 | 歷史)
編者可以在本模板的沙盒 (建立 | 鏡像)和測試樣例 (建立)頁面進行實驗。
請在/doc子頁面中添加分類。 本模板的子頁面。