Intro to Topology
February 27, 2023
Abstract
These are course notes for an introductory undergraduate or dual-listed course for general topology, to be used in an inquiry-based learning classroom.
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The first draft of these notes were adapted from Michel Smith's undergraduate topology notes, used with permission.
Clontz's website is
https://clontz.org.Preface Preface
These notes have been written to serve as an introduction to topology for undergraduate or beginning graduate students of mathematics. Unlike a more comprehensive textbook, these notes are written to be used in an inquiry-based learning classroom. As such, no proofs have been provided. Instead, the results of the course have been carefully scaffolded to allow students to prove most of the theorems on their own, with the support of the instructor.
The only prerequisite for this course is an undergraduate-level introduction to proofs course, which should include all the naive set theory necessary to study topology at the introductory level. Appendix A provides a few definitions and theorems that should be assumed for this course (e.g. properties of the reals, \(0\in\omega\)).
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