Introduction to Set Theory and Topology
Ronald C. Freiwald
Washington University in St. Louis
Copyright 2013

These notes are copyrighted material and may not be used in any way for the profit or
credit of any individual or institution without the express written consent of the author.

Minor updates to Chapters 1-5 were done in August 2013;  small changes for Chapters 6-10 will be in place by mid January 2014.

The author hereby grants permission to copy and use these notes for instructional
purposes in a class or seminar, including one copy for each student, instructor, or course
assistant/grader provided:

i) there is no charge to the recipient beyond the cost of reproducing the notes
ii) that the cover page for the notes, and a copy of this page, is included.


Cover Page


Table of Contents

Chapter 1: Sets

Chapter 2: Pseudometric and Metric Spaces

Chapter 3: Topological Spaces

Chapter 4: Completenes and Compactness

Chapter 5: Connectedness

Chapter 6: Products and Quotients

Chapter 7: Separation Properties

Chapter 8: Ordered Sets

Chapter 9: Convergence

Chapter 10: Compactifications