Concept
Homotopy extension property
Related lectures (18)
Cofibrations: Extension Property and Recognition Principle
Explores the extension property of spaces and the recognition principle for cofibrations.
Homotopy Extension Property
Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.
Understanding Vibrations
Explores vibrations, their properties, and how any map can be transformed into a vibration through factorization.
Fubini's Rule for Pushouts
Explores the Fubini Rule for pushouts, emphasizing the importance of transforming diagrams for maintaining pushout properties.
Contracting Subspaces
Explores the homotopy extension property for contractable subspaces and their quotient maps.
Group Actions: Quotients and Homomorphisms
Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.
CW Pairs: Homotopy Extension Property
Discusses how CW pairs satisfy the homotopy extension property through retractions and homotopy extension properties.
Homotopic Extension Problem
Explores solving the homotopic extension problem, constructing relative CW complexes, and ensuring uniqueness in CW approximations.
Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Homotopy Extension Property
Introduces the homotopy extension property, exploring conditions for extending continuous maps.