*Point Set Topology* Winter 2015

*Math 26200*

### Instructor: Danny Calegari

### College Fellow: Nir Gadish

### Tu-Th 12:00-1:20; Eckhart 206

### Description of course:

This course is an introduction to point set topology.

### Cancellations:

Class canceled Tuesday, March 3.

### Notices:

There is no class on Thursday, March 12 (and no homework due that day either).

### Homework/Midterm/Final:

There will be a midterm and a final. There will also be weekly homework.
Homework is posted to this website each Thursday and is due at the *start*
of class the following Thursday. Late homework will not be accepted.

Homework is worth 50% of grade; midterm and final are each worth 25%. Midterm
is taken in class.

All homework (except where noted) is from Munkres *Topology*. The notation
Y.Z means problem Z from section Y. Bonus questions are **not graded**.

- Homework 1, due Thursday, January 15: 13.1, 13.7, 16.1, 16.5, 16.8, 17.5 (bonus question 17.21)
- Homework 2, due Thursday, January 22: 17.7, 18.8, 18.13, 19.7, 20.3, 20.5
- Homework 3, due Thursday, January 29: 21.2, 22.2, 23.5, 23.11, 24.3, 25.8 (note: 22.2 refers to the exercise on retractions, not the exercise in the supplementary section)
- Homework 4, due Thursday, February 5: 26.4, 26.5, 26.8, 27.5, 28.1, 28.7 (bonus question 26.12)
- Midterm, given out in class Thursday, February 5
- Homework 5, due Thursday, February 19: 30.5, 30.15, 31.5, 32.3, 32.6, 33.1 (bonus question 31.8)
- Homework 6, due Thursday, February 26: 33.3, 33.7, 34.1, 35.1, 35.5, 35.6
- Homework 7, due Thursday, March 5: 36.1, 37.1, 37.3, 38.3, 38.4, 38.8
- Final, given out in E206 Thursday, March 19 at 10:30 am

### Syllabus:

The skeleton of the syllabus is the following.

- Topological spaces and continuous functions
- Connectedness and compactness
- Urysohn Lemma and Urysohn Metrization Theorem
- Tychonoff Theorem
- Introduction to the plane and the sphere

### Notes from class and downloads:

### References:

The textbook for the class is: