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MATH 6730: Set Theory

Spring 2017

MWF 2:00-2:50 pm, ECCR 1B08


Syllabus



Texts:  Lectures on Set Theory by Donald Monk
available at http://euclid.colorado.edu/~monkd/setth.pdf
and
Set Theory by Kenneth Kunen (1980 edition)
available at http://vanilla47.com/PDFs/Cryptography/Mathematics/Set%20Theory%20PDFs/SET%20THEORY.pdf

Course description:  The topics we will discuss include cardinal and ordinal arithmetic, the axiom of choice, infinite combinatorics (including stationary sets, generalizations of Ramsey's theorem, and ultrafilters), and the independence of the continuum hypothesis.

Prerequisites: MATH 4000/5000 (Foundations of Mathematics) and MATH 4730/5730 (Set Theory)

Assignments:  If you are enrolled for a letter grade, you will be asked to solve homework problems, which will be assigned every other week, starting the second week. You will be asked to work on the problems in teams of 2-3, and submit the solutions in pdf. When in final form, the solutions will be posted. Different teams will be assigned different problems, and the teams will change with each assignment. You should read your classmates' solutions.
If you are enrolled for pass/fail, you will be asked to give a short presentations in class. Please send me an email to let me know if you are enrolled for pass/fail.

Getting Help: Don't wait until it is too late if you need help.

Ask questions!

I am available during my office hours and many other times. If you can't see me during office hours, then make an appointment with me to see me at a different time. I will also give short answers to questions sent to me by email.

Campus Policies: By clicking on `Campus Policies' in the left panel at the top of this page you will find details about

  • the honor code,
  • the campus policies on classroom behavior, on accommodating students with disabilities, and on observance of religious holidays, and
  • the campus policies on discrimination and harassment.

If you need any special accommodation due to medical disability or observance of a religious holiday, please inform me as soon as possible (preferably within the first two weeks of class), and provide documentation.