Introduction to topology and the Euler-Poincare characteristic.
The Euler-Poincare characteristic and image recognition
Cluster analysis continued
5: Introduction to chain complexes, Betti numbers and homology
: Examples of Betti numbers
: Homology maps and persistence
: Natural Image Statistics
: Categories, functors and simplicial homology
: Simplicial approximation and singular homology
: Lefschetz fixed-point theorem
12 : Homotopy
Lecture 13 : (We omitted
this lecture on exact sequences)
Lecture 14 : (We omitted
this lecture on Smith Normal Form)
15 : Dynamical systems
: This kind of question could arise on the end of semester 3-hour
I plan to (slowly) convert the above lectures into a booklet. The current version of this is available here and is best viewed in "presentation mode".
Comments and corrections very welcome!