MATH 7510

Topology I

Fall 2007


Lecture Notes

Skeleton .latex File for Notes

Set Theory Review/Simplicial Complexes

DateTopicsVariants
27 &29, August
Simplicial Complexes
.tex .pdf
29 August
More Simplicials
.tex .pdf
31 August
Simplicial 2-manifolds
.tex .pdf
5 September
Simplicial Complex
.tex .pdf
7 September
Set Theory Basics
.tex .pdf
10 September
Schroeder-Bernstein
.tex .pdf
12 September
:redux:
.tex .pdf

Point Set Topology

14 September
Metrics & Topology
.tex .pdf
17 September
Open Sets
.tex .pdf
19 September
Topology: Coarser/Finer
None .pdf
21 September
.tex .pdf
24 September
Closure/Boundary
Page One Page 2
26 September
.tex .pdf
28 September
.tex .pdf

Homotopy & Fundamental Group

DateTopicsVariants
1 October
.tex .pdf
3 October
.tex .pdf
5 October
.tex .pdf
10 October
Exam Review
.tex .pdf
15 October
Hour MidTerm Examination
.tex Answers.pdf
17 Oct
Homotopy
Connectedness
Compactness
Fundamental Group
19 Nov
Covering Space
21 Nov
Path Lifting
26 Nov
Homotopy Lifting
28 Nov
Free Product
30 Nov-3 Dec
van kampen
Prob: (p. 52) 1,3,4,8,11,14,21,22
5 Dec
Regular Coverings
Prob: (p. 80) 2,10,14,19,24,25
Moeller's Covering Notes
Covering Notes
7 Dec
Exam Review
.tex .pdf
Final Exam
Final Examination
.tex .pdf

Neal W. Stoltzfus   Fall 2007