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Syllabus

Assignments

Important Dates

MATH 6730: Set Theory

Spring 2019

MWF 2:00-2:50 pm, ECCR 116


Syllabus



Text:  Lectures on Set Theory by Donald Monk  (available at http://euclid.colorado.edu/~monkd/setth.pdf)
or its recently expanded and reorganized version:
Notes on Set Theory by Donald Monk  (available at http://euclid.colorado.edu/~monkd/full.pdf)

Supplementary Texts: Set Theory by Kenneth Kunen  (pdf file for early editions can be found online)
Set Theory by Thomas Jech  (available through the CU library)

Course description:  The topics we will discuss include cardinal and ordinal arithmetic, the axiom of choice, infinite combinatorics (trees, clubs and stationary sets, generalizations of Ramsey's theorem), models of set theory, 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.

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