This lecture discusses how CW pairs satisfy the homotopy extension property, showing that if (X, A) is a CW pair, then X union A is a deformation retract of X times I. The proof involves retractions and homotopy extension properties.
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Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its