Homotopy: Degree

Related lectures (31)

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Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

Explores irreducible polynomials, focusing on their degree and roots in different fields.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the theory and applications of elliptic curves in cryptography and number theory.

Covers the fixed points of the Ruelle-Thurston operator and its applications in complex analysis.