# 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