Some Lecture Notes for Math 530

Chapter 2
Section 12 
Section 13
Section 14
Sections 15 and 16
Section 17
Section 18
Section 19
Sections 20 and 21
Section 22

Chapter 3
Section 23
Section 24 
Section 25 
Cut Points 
Section 26 
Section 27 
Section 28 
Section 29 

Chapter 4
Section 30  Summary Video 1 Video 2
Section 31  
Section 32  Summary
Section 33 
Section 34
Section 35 (just added)
Section 36 

Chapter 5
Section 37 Illustrating Zorn's Lemma
Section 38 (Rough notes) [Optional Reading]

Chapter 6
Quick Summary of Chapter 6 [Optional Reading]
Section 39 [Optional Reading]
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Section 41 [Optional Reading]
   On whether Rw is paracompact in box topology.
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Chapter 7
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Chapter 8
Section 48 The Sorgenfrey line is a Baire space
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Chapter 9
Chapter 9 Intro
Section 51
Section 52
Section 53
Section 54
Section 55
Section 56
Section 57 (skip)
Section 58
Section 59
Section 60

Somne group theory

Higher homotopy groups (optional)
   Hopf fibration video by Niles Johnson
   Hatcher's Algebraic Topology book
   Homotopy groups of spheres and low-dimensional topology, by Andrew Putman

Optional reading

Tutorial on Axiomatic Set Theory

Axiomatic Set Theory

Units Circles in R2

Planar Continua

Summary of Section 30

Summary of Sections 31 & 32

Urysohn's Lemma