Homotopies & Equivalence Relations

Related lectures (32)

Page 3 of 4

Covers cylinders, path objects, and homotopy in model categories.

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

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

Explores sets of left homotopy equivalence classes of morphisms in model categories.

Covers the fundamentals of homotopy and its applications in topology.

Explores the modern definition of symmetry and its practical applications.

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

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

Delves into modern geometry, covering transformations, isometries, and symmetries.