See additionally account of algebraic cartography topics.
Homology and cohomology: Betti numbers, Euler characteristic, amount of a connected mapping.
Operations: cup product, Massey product
Intuitively adorable applications: Brouwer fixed-point theorem, Hairy brawl theorem, Borsuk–Ulam theorem, Ham sandwich theorem.
Homotopy groups (including the axiological group).
Chern classes, Stiefel–Whitney classes, Pontryagin classes.
Homology and cohomology: Betti numbers, Euler characteristic, amount of a connected mapping.
Operations: cup product, Massey product
Intuitively adorable applications: Brouwer fixed-point theorem, Hairy brawl theorem, Borsuk–Ulam theorem, Ham sandwich theorem.
Homotopy groups (including the axiological group).
Chern classes, Stiefel–Whitney classes, Pontryagin classes.
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