21-329: Set Theory, Spring 2018
Lectures MWF 1:30 - 2:20 in DH 1217


Course Description

We will study the basic properties of natural numbers, countable and uncountable sets, ordinal numbers and transfinite induction, cardinal numbers and cardinal arithmetic, the construction of the real numbers and facts about the topology of the real line, the continuum hypothesis. Optional topics if time permits: determinacy of infinite games, infinitary combinatorics, large cardinals, Borel and analytic sets of reals.

Textbook:

A Course on Set Theory by Schimmerling.

Handouts:

Ordinals
Topology
Clubs

Office Hours:

T 2:00-3:00, W 12:25-1:25 or by appointment in 7121 Wean Hall.

Grades:

Your grade will be determined as follows:
20% homework (see below for details),
20% each of two midterms,
40% final exam.

Exams:

Midterm 1 will take place in class on Monday, February 26. Material up to and including lecture of Monday, February 19 is considered fair game for this exam. It will be a "closed everything" exam, meaning that no resources (such as class notes, etc.) may be used for assistance.
Midterm 1 review sheet

Midterm 2 will take place in class on Wednesday, April 11. Material up to and including lecture of Wednesday, April 4 is considered fair game for this exam. The policies are the same as for Midterm 1.
Midterm 2 review sheet

Homework:

Homework will typically be assigned on Wednesday and due the subsequent Wednesday no later than 3:00 pm. Collaboration is encouraged on the assignments, aside from the starred problem as discussed below, but each student is expected to write up his or her own solutions. Use of external resources (on non-starred problems) is also permitted, but in the interest of academic honesty please be sure to cite your sources.

Each assignment may contain a single starred problem for which no collaboration nor external resource is allowed. You may consult only the text and your notes. Please obey these terms -- homework is graded on completeness anyway so there should be little incentive to cheat (if anything it will have a negative long-term effect on your grade).

HW1 (due Jan 24)

Solutions

HW2 (due Jan 31)

Solutions

HW3 (due Feb 7)

Solutions

HW4 (due FRIDAY Feb 16)

Solutions

HW5 (due FRIDAY Feb 23)

Solutions

HW6 (due Mar 7)

Solutions

HW7 (due Mar 21)

Solutions

HW8 (due Mar 28)

Solutions

HW9 (due Apr 4)

Solutions

HW10 (due FRIDAY Apr 13)

Solutions

HW11 (due Apr 25)

Solutions

HW12 ("due" FRIDAY May 4)

Solutions



Clinton T. Conley
clintonc[at]andrew.???.edu