PART 1: TOPOLOGY
Chapter 1: Sets and Numbers 



Chapter 2: Metric Spaces 
Section 2.1 Metric Spaces: definition and examples ( contains extras) 

Chapter 3: Topological Spaces 
Section 3.1 Topological Spaces: definition and basic examples ( contains extras) 




Chapter 4: Subspaces, Quotients Spaces and Manifolds 




Chapter 5: Products of Spaces 



Chapter 6: Connected and Path Connected Spaces 




Section 6.5 Locally connected and locally path connected 
Chapter 8: Separation Properties 



Chapter 9:Urysohn, Tietze and StoneCzech 






PART 2: HOMOTOPY
Chapter 10: Isotopy, Homotopy, Fundamental Group 




Chapter 11: The Fundamental Group of a Circle 

Section 11.2 Brouwer fixed point and the fundamental theorem of algebra 

Chapter 12: Combinatorial Group Theory 

Section 12.2 Free groups, Tietze, Dehn (no graphics) 
Section 12.3 Free products and free products with amalgamation (no graphics) 
Chapter 13: SeifertVan Kampen Theorem 




Section 13.5 
Chapter 14: Classifying Manifolds 
Section 14.1 
Section 14.2 
Section 14.3 
Section 14.4 
Section 14.5 
Chapter 15: Covering Spaces, Part 1 
Section 15.1 
Section 15.2 
Section 15.3 
Section 15.4 
Chapter 16: Covering Spaces, Part 2 
Section 16.1 
Section 16.2 
Section 16.3 
Section 16.4 
Section 16.5 
Chapter 17: Applications in Group Theory 
Section 17.1 
Section 17.2 
Section 17.3 
Section 17.4 




