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Volumn 129, Issue 5, 2001, Pages 1403-1408

Porous sets that are haar null, and nowhere approximately differentiable functions

Author keywords

Approximate derivative; Besicovitch functions; Cr porous sets; Haar null sets; Nowhere holder functions; Typical continuous function

Indexed keywords


EID: 23044525265     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05811-1     Document Type: Article
Times cited : (15)

References (10)
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    • (1993) Ann. Fac. Sci. Toulouse Math. (6) , vol.2 , pp. 5-14
    • Anisiu, V.1
  • 2
    • 0001236183 scopus 로고
    • Über die Baire'sche Kategorie gewisser Funktionenmengen
    • S. Danach, Über die Baire'sche Kategorie gewisser Funktionenmengen, Studia Math. 3 (1931), 174-179.
    • (1931) Studia Math. , vol.3 , pp. 174-179
    • Danach, S.1
  • 5
    • 0011315228 scopus 로고
    • Porosity and typical properties of real-valued continuous functions
    • MR 91c:26007
    • P. M. Gandini and A. Zucco, Porosity and typical properties of real-valued continuous functions, Abh. Math. Sem. Univ. Hamburg 59 (1989), 15-22. MR 91c:26007
    • (1989) Abh. Math. Sem. Univ. Hamburg , vol.59 , pp. 15-22
    • Gandini, P.M.1    Zucco, A.2
  • 6
    • 84966230397 scopus 로고
    • The prevalence of continuous nowhere differentiable functions
    • MR 95d:26009
    • B. R. Hunt, The prevalence of continuous nowhere differentiable functions, Proc. Amer. Math. Soc. 122 (1994), 711-717. MR 95d:26009
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 711-717
    • Hunt, B.R.1
  • 7
    • 0007370191 scopus 로고    scopus 로고
    • The Banach-Saks property and Haar null sets
    • MR 99g:46013
    • E. Matouskovä, The Banach-Saks property and Haar null sets, Comment. Math. Univ. Carolinae 39 (1998), 71-80. MR 99g:46013
    • (1998) Comment. Math. Univ. Carolinae , vol.39 , pp. 71-80
    • Matouskovä, E.1
  • 8
    • 0002216381 scopus 로고
    • Sur les fonctions non dérivables
    • S. Mazurkiewicz, Sur les fonctions non dérivables, Studia Math. 3 (1931), 92-94.
    • (1931) Studia Math. , vol.3 , pp. 92-94
    • Mazurkiewicz, S.1
  • 10
    • 0001033236 scopus 로고
    • Porosity and a-porosity
    • MR 89e:26009
    • L. Zajîcek, Porosity and a-porosity, Real Anal. Exchange 13 (1987-88), 314-350. MR 89e:26009
    • (1987) Real Anal. Exchange , vol.13 , pp. 314-350
    • Zajîcek, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.