Separately continuous functions with respect to a variable frame
We show that the set D(f) of discontinuity points of a function f : R 2 → R continuous at every point p with respect to two variable linearly independent directions e 1(p) and e 2(p) is a set of the first category. Furthermore, if f is differentiable along one of directions, then D(f) is a nowhere d...
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| Date: | 2004 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3841 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |