Topology: Disk Deprivation

Related lectures (31)

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Covers fundamental concepts of space, topology, groups, and homology theory.

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Discusses homotopy, projective spaces, and the universal property of quotient spaces in topology.

Covers the concept of homotopy classes and their properties in topology, including short components and group concatenation.

Covers the compact-open topology, defining maps between spaces and discussing continuous maps and preimages in topology.

Introduces homology as a tool to distinguish spaces in all dimensions and provides insights into its construction and applications.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.