A simultaneous solution to two problems on derivatives
Let A be a nonvoid countable subset of the unit interval [0,1] and let B be an Fσ-subset of [0,1] disjoint from A. Then there exists a derivative f on [0,1] such that 0≤f≤1, f=0 on A, f>0 on B, and such that the extended real valued function 1/f is also a derivative.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000637 |
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