Dror Bar-Natan: Classes: 2002-03: Math 157 - Analysis I: | (49) |
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All of Spivak Chapter 6.
From Spivak Chapter 6: 1(i)-(iii), 3, 12, 14
From Spivak Chapter 6: 1(iv), 4, 10, 13, 16 parts (a) through (c).
Problem. Could there be a non-constant continuous function defined on the entire ``unit'' interval , which is constant on certain open subintervals of whose total length is exactly equal to ? (Obviously, I wouldn't be asking this question if the answer wasn't ).
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