Contracting Subspaces

Related lectures (32)

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Introduces the homotopy extension property, exploring conditions for extending continuous maps.

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

Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.

Covers cylinders, path objects, and homotopy in model categories.

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Covers induced homomorphisms on relative homology groups and their properties.

Introduces the homotopy category of a model category with inverted weak equivalences and unique homotopy equivalences.

Discusses how CW pairs satisfy the homotopy extension property through retractions and homotopy extension properties.

Discusses fundamental groups, surfaces, and their topological properties in detail.

Covers the fundamentals of homotopy and its applications in topology.