Concept

Real projective plane

Related lectures (9)

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Orientation & Angles in 3D Space

Explores isometries, orientation, and dihedral angles in 3D space.

Projective Spaces: Separation and Definitions

Covers separated spaces, saturation properties, and projective spaces, including the real projective plane and compactness.

Cell Attachment: Large Cell

Delves into cell attachment, exploring its implications for different cell dimensions.

Sphere and Projective Plane

Explores examples related to the sphere and the projective plane.

Quantum Chaos and Scrambling

Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.

Topology: Classification of Surfaces and Fundamental Groups

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Cellular Homology: Applications

Delves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.