Properties of functions with monotone graphs
DOI10.1007/s10474-013-0367-zzbMath1324.26005arXiv1210.1952OpenAlexW2044408697MaRDI QIDQ2439810
Václav Vlasák, Ondřej Zindulka, Tamás Mátrai, Aleš Nekvinda, Michael Hrušák
Publication date: 17 March 2014
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.1952
graphderivativecontinuous functionapproximate derivativeabsolutely continuous function\(\sigma\)-porous setmonotone metric space
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Absolutely continuous real functions in one variable (26A46)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Takagi function: a survey
- Porosity and \(\sigma\)-porosity
- Monotone metric spaces
- Polar sets and Hausdorff dimension in nonseparable spaces?
- Denjoy-Young-Saks theorem for approximate derivatives revisited
- On \(\sigma\)-porous sets in abstract spaces
- An absolutely continuous function with non-\(\sigma\)-porous graph
- Hausdorff Dimension of Metric Spaces and Lipschitz Maps onto Cubes
- Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps
- A Cantor set in the plane that is not σ-monotone
- Mapping Borel Sets onto Balls and Self-similar Sets by Lipschitz and Nearly Lipschitz Maps
- Cardinal invariants of monotone and porous sets
- Ordered Topological Spaces
This page was built for publication: Properties of functions with monotone graphs