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MR ZblZajíček, Luděk. Porosity, derived numbers and knot points of typical continuous functions. Czechoslovak Mathematical Journal, Tome 39 (1989) no. 1, pp. 45-52. doi: 10.21136/CMJ.1989.102277
@article{10_21136_CMJ_1989_102277,
author = {Zaj{\'\i}\v{c}ek, Lud\v{e}k},
title = {Porosity, derived numbers and knot points of typical continuous functions},
journal = {Czechoslovak Mathematical Journal},
pages = {45--52},
year = {1989},
volume = {39},
number = {1},
doi = {10.21136/CMJ.1989.102277},
mrnumber = {983482},
zbl = {0672.26002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102277/}
}
TY - JOUR AU - Zajíček, Luděk TI - Porosity, derived numbers and knot points of typical continuous functions JO - Czechoslovak Mathematical Journal PY - 1989 SP - 45 EP - 52 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102277/ DO - 10.21136/CMJ.1989.102277 LA - en ID - 10_21136_CMJ_1989_102277 ER -
%0 Journal Article %A Zajíček, Luděk %T Porosity, derived numbers and knot points of typical continuous functions %J Czechoslovak Mathematical Journal %D 1989 %P 45-52 %V 39 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1989.102277/ %R 10.21136/CMJ.1989.102277 %G en %F 10_21136_CMJ_1989_102277
[1] A. M. Bruckner, J. Haussermann: Strong porosity features of typical continuous functions. Acta Math. Hungar. 45 (1985), 7-13. | DOI | MR | Zbl
[2] A. M. Bruckner, B. S. Thomson: Porosity estimates for the Dini derivatives. Real Analysis Exchange 9 (1983-84), 508-538. | DOI | MR
[3] K. M. Garg: On a residual set of continuous functions. Czechoslovak Math. J. 20 (95) (1970), 537-543. | MR | Zbl
[4] J. Haussermann: Porosity characterizations of intersection sets with the typical continuous function. Real Analysis Exchange 9 (1983-84), 386-389. | DOI | MR
[5] P. D. Humke, M. Laczkovich: Typical continuous functions are virtually nonmonotone. Proc. Amer. Math. Soc. 94, (1985), 244-248. | DOI | MR | Zbl
[6] P. D. Humke, T. Vessey: Another note on $\sigma$-porous sets. Real Analysis Exchange 8 (1982-83), 261 - 271. | DOI | MR
[7] V. Jarník: Über die Differenzierbarkeit stetiger Funktionen. Fund. Math. 21 (1933), 48-58. | DOI
[8] V. Jarník: Sur les nombres dérivés approximatifs. Fund. Math. 22 (1934), 4-16. | DOI
[9] B. S. Thomson: Some theorems for extreme derivates. J. London Math. Soc. (2), 27 (1983), 43-50. | MR | Zbl
[10] B. S. Thomson: Real Functions. Lect. Notes in Math. 1170, Springer-Verlag 1985. | MR | Zbl
[11] L. Zajíček: Sets of $\sigma$-porosity and sets of $\sigma$-porosity. (q), Časopis Pěst. Mat. 101 (1976), 350-359. | MR
[12] L. Zajíček: On Dini derivatives of continuous and monotone functions. Real Analysis Exchange 7 (1981-82), 233-238. | DOI | MR
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