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Article

Keywords:
Dini derivative; one-sided Lipschitzness; $\sigma$-porous set; strong right porosity; abstract porosity
Summary:

References:
[1] Doležal M., Zelený M.: Infinite games and $\sigma$-porosity. preprint.
[2] Kantorovich L.V.: Sur les nombres dérivés des fonctions continues. (in Russian), Mat. Sb. 39 (1932), 153–170.
[3] Oxtoby J.C.: Measure and Category. Springer, New York-Berlin, 1980. MR 0584443 | Zbl 0435.28011
[4] Thomson B.S.: Real Functions. Lecture Notes in Mathematics, 1170, Springer, Berlin, 1985. MR 0818744 | Zbl 0809.26001
[5] Zajíček L.: On the symmetry of Dini derivates of arbitrary functions. Comment. Math. Univ. Carolin. 22 (1981), 195–209. MR 0609947
[6] Zajíček L.: Porosity and $\sigma$-porosity. Real Anal. Exchange 13 (1987/88), 314–350. MR 0943561
[7] Zajíček L., Zelený M.: Inscribing closed non-$\sigma$-lower porous sets into Suslin non-$\sigma$-lower porous sets. Abstr. Appl. Anal. 2005, 221–227. MR 2197116
[8] Zelený M., Zajíček L.: Inscribing compact non-$\sigma$-porous sets into analytic non-$\sigma$-porous sets. Fund. Math. 185 (2005), 19–39. MR 2161750
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