Math 531

• The Seifert-van Kampen Theorem using Munkers Topology, Chapter 11.
• Higher Homotopy groups using Bredon.
• Homology using Munkers Elements of Algebraic Topology.
• Cohomology using Munkers Elements of Algebraic Topology. .........

References

Algebraic Topology
• Elementary Concepts of Topology by Paul Alexandroff.
• Elements of Algebraic Topology by Munkres (main textbook).
• Topology, 2nd Edition, by Munkres.
• Algebraic Topology: An Introduction, by Massey.
• Algebraic Topology, by Hatcher.
• Topology and Geometry by Bredon.

  Differential Topology (Geometry)

• Topology form the Differential Viewpoint, by Milnor.
• Differential Topology, by Guillemin & Pollack.
• Differentail Topology, by Hirsch.

  Advanced

• The Geometry and Topology of Three-manifolds, by Thurston
• The Topology of 4-Manifolds, Kirby.

  Applications

• Homology and Dynamical Systems, by Franks.
• Knots and Links in Flows on Three-Manifolds, Ghrist, Holmes & Sullivan.

  Other

• History of Topology edited by I.M. James.