MEASURE THEORY
Arizona State University
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MEASURE THEORY
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We always denote by X our universe, i.e. all the sets we shall consider are subsets of X.
Recall some standard notation. 2
everywhere denotes the set of all subsets of a given
set X. If A B = ? then we often write A t B rather than A [ B, to underline the
disjointness. The complement (in X) of a set A is denoted by A
X
. By A4B the symmetric
difference of A and B is denoted, i.e. A 4 B = (A n B) [ (B n A). Letters i; j; k always
denote positive integers. The sign ¹ is used for restr...
Class notes
MEASURE THEORY
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We always denote by X our universe, i.e. all the sets we shall consider are subsets of X. Recall some standard notation. 2 everywhere denotes the set of all subsets of a given set X. If A B = ? then we often write A t B rather than A [ B, to underline the disjointness. The complement (in X) of a set A is denoted by A X . By A4B the symmetric difference of A and B is denoted, i.e. A 4 B = (A n B) [ (B n A). Letters i; j; k always denote positive integers. The sign ¹ is used for restr...
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