Template:Infobox mathematical statement

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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.

模板参数[编辑模板数据]

此模板首选参数换行的代码块格式。

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

See also

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

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