Lectures related to Stable homotopy theory

Focuses on lifting properties in homotopy theory of chain complexes.

Explores acyclic fibrations and cylinder objects in chain complexes.

Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.

Explores the model structure on chain complexes over a field.

Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.

Explores the cylinder construction on a chain complex and its equivalence to chain homotopy.

Covers the attachment of a 2-cell to a space and explores the concept of the attachment application f.

Covers the concept of degree in homotopy theory and the structure of complexes with two simplices.

Covers the Seifert van Kampen theorem, homotopy, and the repair of premie rectangles.

Explores cell attachment, homotopy, function existence, construction using universal property, and continuity.

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

Covers commutative diagrams, homotopy, and constructing topological spaces.

Covers induced homomorphisms on relative homology groups and their properties.

Explores the extension property of spaces and the recognition principle for cofibrations.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Covers homotopy, quotient spaces, and the universal property in topology.

Explores the cellular approximation theorem for CW complexes and its implications on homotopy groups.