Brouwer's continuity theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:alsoKnownAs |
gptkb:Brouwer's_theorem_on_the_continuity_of_functions
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| gptkbp:contrastsWith |
gptkb:classical_mathematics
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| gptkbp:field |
gptkb:intuitionistic_mathematics
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer's continuity theorem
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| gptkbp:implies |
no discontinuous function from reals to reals is constructively definable
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| gptkbp:namedAfter |
gptkb:L._E._J._Brouwer
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| gptkbp:publishedIn |
1927
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| 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
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| gptkbp:bfsParent |
gptkb:Luitzen_Egbertus_Jan_Brouwer
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| gptkbp:bfsLayer |
6
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