Csörnyei, Marianna and Wilson, Bobby (2016) Tangents of σ-finite curves and scaled oscillation. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 161 (1). pp. 1-12. ISSN 0305-0041
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Official URL: http://dx.doi.org/10.1017/S030500411500081X
Abstract
We show that every continuous simple curve with σ-finite length has a tangent at positively many points. We also apply this result to functions with finite lower scaled oscillation; and study the validity of the results in higher dimension. © Cambridge Philosophical Society 2016.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Jan 2017 15:59 |
| Last Modified: | 02 Jan 2017 15:59 |
| URI: | http://real.mtak.hu/id/eprint/44132 |
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