Brouwer's theorem on the continuity of functions
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Brouwer's_continuity_theorem
|
| gptkbp:appliesTo |
gptkb:intuitionistic_mathematics
|
| gptkbp:contrastsWith |
gptkb:classical_mathematics
|
| gptkbp:field |
gptkb:logic
gptkb:topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer's theorem on the continuity of functions
|
| gptkbp:implies |
no discontinuous function from reals to reals is constructible in intuitionistic mathematics
|
| gptkbp:influencedBy |
intuitionism
|
| gptkbp:namedAfter |
gptkb:L._E._J._Brouwer
|
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:relatedTo |
gptkb:Brouwer's_fan_theorem
constructive analysis Brouwer's fixed-point theorem |
| gptkbp:state |
All total functions from the real numbers to the real numbers are continuous (in intuitionistic mathematics).
|
| gptkbp:bfsParent |
gptkb:Brouwer's_continuity_theorem
|
| gptkbp:bfsLayer |
7
|