Brouwer's continuity theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Brouwer's_theorem_on_the_continuity_of_functions
|
| gptkbp:contrastsWith |
gptkb:classical_mathematics
|
| gptkbp:field |
gptkb:intuitionistic_mathematics
mathematical analysis |
| gptkbp:implies |
no discontinuous function from reals to reals is constructively definable
|
| gptkbp:namedAfter |
gptkb:L._E._J._Brouwer
|
| gptkbp:publishedIn |
1927
|
| gptkbp:relatedTo |
gptkb:logic
continuity intuitionism real numbers |
| gptkbp:state |
all total functions from the real numbers to the real numbers are continuous in intuitionistic mathematics
|
| gptkbp:bfsParent |
gptkb:L._E._J._Brouwer
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer's continuity theorem
|