# Talk:Theodore Kaczynski

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To be added and formatted when I have the time:

- By a boundary function for f we mean a function t defined on a set E ( X such that for each p ( E there exists an arc v at p for which

lim f(z) = t(p). z -> p z ( v

a boundary function for a Borel-measurable function is always Borel-measurable, but we show that a boundary function for a Lebesgue-measurable function need not be Lebesgue-measurable. http://www.rpi.edu/~bulloj/tjk/tjk1.html

if f(z) is a homeomorphism of D onto D, then there exists a countable set N such that t|C - N is continuous. http://www.rpi.edu/~bulloj/tjk/tjk2.html

~ MosheZadka (Talk) 18:31, 7 September 2005 (UTC)