Template:Infobox mathematical statement/doc

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.
Type	Theorem
Conjectured by	Henri Poincaré
Conjectured in	1904
First proof by	Grigori Perelman
First proof in	2006
Implied by	Geometrization conjecture Thurston elliptization conjecture
Open problem	No
Generalizations	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 =
| open problem =
| field of mathematics =
| conjectured by =
| conjecture date =
| first proof by =
| first proof date =
| implied by =
| 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 of mathematics

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

conjectured by

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

conjectured date

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

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.)

first proof by

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

first proof date

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

implied by

Statement(s) that imply the current one.

generalizations

Statement(s) that generalize the current one.

consequences

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

See also

• WP:Infobox