# Point Set Topology Winter 2015

## Math 26200

### 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