On the existence of C-1 functions with perfect level sets

Authors
D'Aniello, E Darji, UB
Citation
E. D'Aniello et Ub. Darji, On the existence of C-1 functions with perfect level sets, Z ANAL ANWE, 19(3), 2000, pp. 847-852
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
3
Year of publication
2000
Pages
847 - 852
Database
ISI
SICI code
0232-2064(2000)19:3<847:OTEOCF>2.0.ZU;2-K
Abstract
Given a closed set M subset of [0, 1] of Lebesgue measure zero, we construc t a C-1 function f with the property that f(-1)({y}) is a perfect set for e very y in M.