Homotopy Extension Property

Related lectures (32)

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Covers induced homomorphisms on relative homology groups and their properties.

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.

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

Covers the fundamentals of homotopy and its applications in topology.

Explores the homotopy extension property for contractable subspaces and their quotient maps.

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

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

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

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.