টেমপ্লেট:Infobox mathematical statement
 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 | |
| উম্মুক্ত সমস্যা | No |
| সাধারণ | Generalized Poincaré conjecture |
ব্যবহার
[সম্পাদনা]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
[সম্পাদনা]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
YesorNo, 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 fieldsorFor 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.