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 Example: Embedding RP2 into R4.
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]
...
Section 41 [Optional Reading]
On whether Rw is paracompact in box topology.
...
Chapter 7
...
...
...
...
...
Chapter 8
Section 48 The Sorgenfrey line is a Baire space
...
...
Chapter 9
Chapter 9 Intro
Section 51
Section 52
Section 53
Section 54
Section 55
Section 56 (Skip)
Section 57 (skip)
Section 58 Video 1 Video 2 Video 3
Section 59 Griffiths' Twin Cone
Section 60
Some 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