Resources

Course Textbook

Please do not distribute without permission of the authors. If you notice an error in the writing, please feel free to contact us! We will update the notes as the course progresses. 

Canonical Textbooks

Here we list some standard textbooks which are used to teach their respective subjects. Some of our exposition follows the content in these books, but we have adapted the material to better fit the pace and structure of the course. 

Point Set Topology: Topology by James Munkres. Ch. 2-3

Differential Topology: Introduction to Smooth Manifolds by John M. Lee. Ch 1-3 and Introduction to Manifolds by Loring Tu. Ch. 1-3 

Algebraic Topology: Algebraic Topology by Allen Hatcher. Ch 0-2

Knot Theory: An introduction to Knot Theory by W.B.R. Lickorish  Ch 1-3, 6, 12, Knots and Links by Dale Rolfsen, The Knot Book by Colin C. Adams

Morse Theory: Morse Theory by John Milnor

Other helpful links: 

• Understanding compactness

  • https://math.stackexchange.com/questions/371928/what-should-be-the-intuition-when-working-with-compactness 

• Table of knots: 

  • http://katlas.org/wiki/The_Rolfsen_Knot_Table