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Introduction to homotopy limits and colimits
Mapper for mapping' mapper as an imager. Importance of mapping. Applications of homology to mapping
Computational Conley theory
Imaging data sets' linear regression, projection pursuit, multidimensional scaling as methods of imaging data sets
Unimodal decompositions' lyusternik-schnirelman category; unimodal category and mode-decomposition in statistics; applications to coordinate-free data
Persistence and point clouds' Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, Gröbner bases
Verified homology of nodal domains
Zig-zags and statistics' bootstrap method, zig-zag persistence, other applications of zig-zag persistence
Early evening traffic on Interstate 94, St. Paul and MInneapolis, Minnesota.
Early evening traffic on Interstate 94, St. Paul and MInneapolis, Minnesota.