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pathological
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(Definition)
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In mathematics, a pathological object is mathematical object that has a highly unexpected property.
Pathological objects are typically percieved to, in some sense, be badly behaving. On the other hand, they are perfectly properly defined mathematical objects. Therefore this ``bad behaviour'' can simply be seen as a contradiction with our intuitive picture of how a certain object should behave.
See also [1].
- 1
- Wikipedia entry on pathological, mathematics.
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"pathological" is owned by CWoo. [ full author list (2) | owner history (1) ]
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Cross-references: Ackermann function, rational, discontinuous, point, irrational, continuous at, Dirichlet's function, measure, uncountable, property, subset, Cantor set, onto, interval, unit, maps, curve, Peano space, nowhere differentiable, continuous function, Weierstrass function, function, contradiction, object
There are 9 references to this entry.
This is version 7 of pathological, born on 2004-10-06, modified 2009-01-12.
Object id is 6310, canonical name is Pathological.
Accessed 4271 times total.
Classification:
| AMS MSC: | 00A20 (General :: General and miscellaneous specific topics :: Dictionaries and other general reference works) |
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Pending Errata and Addenda
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