I currently reside in Warwick, NY with my wife and daughter. I am an active member in the community and enjoy networking with other local small business owners. I proudly support Orange County Chamber of Commerce, BNI Rainmakers Chapter, Warwick Valley Chamber of Commerce, NAIFA - Hudson Vall...
In general, a continuous function need not map a measurable set onto a measurable set. It is a consequence of 2.1.4 that the Cantor function is such a function. Proposition 2.4. There is a Lebesgue measurable set A ⊆ [0, 1] such that G(A) is not Lebesgue measurable. ...