Skip to Main Content

Open Math Notes

Resources and inspiration for math instruction and learning

Home Submit FAQ Contact My Notes

Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Samuel Coskey
Boise State University
MR ID: 902147
Erik Holmes
University of Hawaii
Reference #


Posted date
2021-01-22 11:23:54
Revised date
2021-01-22 11:23:54
Notes type
   Topics Course
      Real Analysis
      Point Set Topology

Category, measure, and forcing

Set theory lecture notes

Notes based on a graduate course in set theory. The first part covers measure, category, the continuum hypothesis, and cardinal characteristics of the continuum. The second part introduces the method forcing, and concludes by showing how forcing can prove independence results about the continuum hypothesis as well as the values of the cardinal characteristics.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v3 PDF (560K) 01/22/21