# Porosity, derived numbers and knot points of typical continuous functions

Czechoslovak Mathematical Journal (1989)

- Volume: 39, Issue: 1, page 45-52
- ISSN: 0011-4642

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topZajíček, Luděk. "Porosity, derived numbers and knot points of typical continuous functions." Czechoslovak Mathematical Journal 39.1 (1989): 45-52. <http://eudml.org/doc/13753>.

@article{Zajíček1989,

author = {Zajíček, Luděk},

journal = {Czechoslovak Mathematical Journal},

keywords = {typical continuous functions; knot points; Dini derivates of continuous functions; derived number; porous set},

language = {eng},

number = {1},

pages = {45-52},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Porosity, derived numbers and knot points of typical continuous functions},

url = {http://eudml.org/doc/13753},

volume = {39},

year = {1989},

}

TY - JOUR

AU - Zajíček, Luděk

TI - Porosity, derived numbers and knot points of typical continuous functions

JO - Czechoslovak Mathematical Journal

PY - 1989

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 39

IS - 1

SP - 45

EP - 52

LA - eng

KW - typical continuous functions; knot points; Dini derivates of continuous functions; derived number; porous set

UR - http://eudml.org/doc/13753

ER -

## References

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- P. D. Humke, M. Laczkovich, 10.1090/S0002-9939-1985-0784172-7, Proc. Amer. Math. Soc. 94, (1985), 244-248. (1985) Zbl0564.26002MR0784172DOI10.1090/S0002-9939-1985-0784172-7
- P. D. Humke, T. Vessey, Another note on $\sigma $-porous sets, Real Analysis Exchange 8 (1982-83), 261 - 271. (1982) MR0694514
- V. Jarník, Über die Differenzierbarkeit stetiger Funktionen, Fund. Math. 21 (1933), 48-58. (1933)
- V. Jarník, Sur les nombres dérivés approximatifs, Fund. Math. 22 (1934), 4-16. (1934)
- B. S. Thomson, Some theorems for extreme derivates, J. London Math. Soc. (2), 27 (1983), 43-50. (1983) Zbl0523.26004MR0686501
- B. S. Thomson, Real Functions, Lect. Notes in Math. 1170, Springer-Verlag 1985. (1985) Zbl0581.26001MR0818744
- L. Zajíček, Sets of $\sigma $-porosity and sets of $\sigma $-porosity, (q), Časopis Pěst. Mat. 101 (1976), 350-359. (1976) MR0457731
- L. Zajíček, On Dini derivatives of continuous and monotone functions, Real Analysis Exchange 7 (1981-82), 233-238. (1981) MR0657321

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