Hi,
I am working on an assignment based on topology, The name of the course is topological data analysis. This assignment has 9 questions each testing a different concept in topology. The 9 questions are based on the following topics:
Continuity,
Morse Smale Complex
Discrete Morse Functions
Reeb Graphs
Mapper
Complexes for Point Clouds
Computing Homology
Homology Basis
Coboundaries
I have attached screenshots of the 9 questions below for your reference.
there are some more files that I have. these are basically the powerpoint presentation of my course but this is all pulled from a specific textbook. if this is needed I can provide you with the same