FW: Theory Measure

 

 

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Posted on: Thursday, February 04, 2010 7:01 PM
Author: Scribd Feed
Subject: Theory Measure

 

Measure Theory V. Liskevich 1998 1 Introduction We always denote by X our universe, i.e. all the sets we shall consider are subsets of X. Recall some standard notation. 2X everywhere denotes the set of all subsets of a given set X. If A ∩ B = ∅ then we often write A B rather than A ∪ B, to underline the disjointness. The complement (in X) of a set A is denoted by Ac . By A B the symmetric difference of A and B is denoted, i.e. A B = (A \ B) ∪ (B \ A). Letters i, j, k always denote positive integers. The sign is used for restriction of a function (operator etc.) to a subset (subspace). 1.1

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