Math 320 Measure Theory and Integration
Assignment 2: Measures, Outer Measures, and Weird Sets
The due date for this assignment is Thursday 9/16/2010.
1. Let (X; A; ) be a measure space and fAi g a sequence of A-measurable sets such that
1
X
i=1
(Ai ) < 1
Math 320 Measure Theory and Integration
Assignment 2: Measures, Outer Measures, and Weird Sets
The due date for this assignment is Thursday 9/16/2010.
1. Let (X; A; ) be a measure space and fAi g a sequence of A-measurable sets such that
1
X
i=1
(Ai ) < 1
Math 320 Measure Theory and Integration
Assignment 3: Measurable Functions and Their Unexpected Properties
The due date for this assignment is 9/30
1. Consider the Cantor function
: [0; 1] P [0; 1]. It is dened as follows: For each
!
n
x 2 C , the Cantor
Math 320 Measure Theory and Integration
Assignment 1: -algebras and Borel sets
The due date for this assignment is Thursday 9/9/2010.
1. Let A be the set of numbers in [0; 1] which admit decimal expansions such that the
digits 2; 4; 6; 8 all appear at lea
Math 320 Measure Theory and Integration
Assignment 1: -algebras and Borel sets
The due date for this assignment is Thursday 9/9/2010.
1. Let A be the set of numbers in [0; 1] which admit decimal expansions such that the
digits 2; 4; 6; 8 all appear at lea