On the fullness of surjective maps of an interval
نویسندگان
چکیده
منابع مشابه
On the Fullness of Surjecttve Maps of an Interval
Let / = [0, 1], ® = Lebesgue measurable subsets of [0, 1], and let A denote the Lebesgue measure on (/, ©). Let t: / —> / be measurable and surjective. We say t is full, if for all A e «, AL4) > 0, r(A), t\A), ..., measurable, the condition (1) n|im \(t"(A)) = 1 holds. We say t is interval full if (1) holds for any interval A c /. In this note, we give an example of t: / -> / which is continuou...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1982-0637701-x