Topology: Homotopy and Cone Attachments

Related lectures (30)

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Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

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

Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.

Explores homotopy invariance, emphasizing the preservation of properties under continuous functions and their relationship with topological spaces.

Explores the Serre model structure on Top, focusing on right and left homotopy.

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

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Introduces the course on homotopical algebra, exploring the power of analogy in pure mathematics.