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Open Math Notes

Resources and inspiration for math instruction and learning

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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

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Point-Set Topology

Topology is one of the cornerstones in the foundation of modern mathematics. It appears everywhere. The purpose of this course is to give students the background in topology that they need to pursue higher level mathematics. Point-Set Topology is a very abstract in nature. The entire subject is built from a few set theoretic definitions that can be used in a wide variety of situations. In this course, we cover: Topological Spaces, basis , the product topology, continuity and homeomorphism, the quotient topology, metric spaces, compactness, separability, and connectedness.

Lisa Orloff Clark
The University of Otago

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