MATH 230A Midterm: Math 230A Midterm Fall 2017
Document Summary
Please, use a separate booklet for each problem. You have 3 hours but you are not required to solve all the problems!! Just solve those that you can solve within the time limit. For any clari cation on the text, one of the ta"s will be outside the room, and andrea in packard 272. You cannot use computers, and in particular you cannot use the web. You can cite theorems (propositions, corollaries, lemmas, etc. ) from amir dembo"s lecture notes by number, and exercises you have done as homework by number as well. Consider the space = n = {0, 1, 2, . and the sigma-algebras f = 2n and g = ({jk}k n) where. Prove that, for any non-negative function1 f : n r 0: Let = q be the set of rational numbers endowed with the topology induced by the usual distance d(x, y). Denote by bq the borel sigma-algebra induced by this topology.
