টেমপ্লেট:Infobox mathematical statement/নথি

Infobox mathematical statement/নথি

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.
ধরন	Theorem
ক্ষেত্র	Geometric topology
বক্তব্য	Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
অনুমানকারী	অঁরি পোয়াঁকারে
অনুমানের সময়	1904
প্রথম প্রমাণকারী	Grigori Perelman
প্রথম প্রমাণের তারিখ	2006
প্রবর্তনকারী	Geometrization conjecture Thurston elliptization conjecture
উম্মুক্ত সমস্যা	No
সাধারণ	Generalized Poincaré conjecture

ব্যবহার

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
| নাম =
| চিত্র =
| ক্যাপশন =
| ধরন =
| শাখা =
| বর্ণনা =
| 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 =
}}

ব্যবধি

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.