Lectures related to Homotopy groups of spheres

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

Covers commutative diagrams, homotopy, and constructing topological spaces.

Covers the fundamentals of homotopy and its applications in topology.

Covers induced homomorphisms on relative homology groups and their properties.

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

Focuses on proving the Cellular Approximation Theorem, introducing polyhedra and piecewise linear maps.

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

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

Introduces the course on homotopical algebra, exploring the power of analogy in pure mathematics.

Explains how to calculate inertia with missing parts using the Steiner theorem.