Concept

Homotopy group

Related lectures (32)

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

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

Covers commutative diagrams, homotopy, and constructing topological spaces.

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.

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

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

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

Covers induced homomorphisms on relative homology groups and their properties.

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

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