Cell Attachment and Homotopy

Related lectures (32)

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Introduces the concept of a universal covering construction with examples like Hawaiian rings.

Explores chain homotopy, projective complexes, and homotopy equivalences in chain complexes.

Explores homotopy equivalence in chain complexes, emphasizing path object construction and left/right homotopy characterization.

Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.

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

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Explores constructing a base B for a topology using homotopy classes and paths.

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

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

Explores the attachment of a 1-cell to a space and the conditions for points to belong to the same connected component.