Metric Spaces: Topology and Continuity

Related lectures (30)

Page 3 of 3

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Covers norms, convergence, sequences, and topology in Rn with examples and illustrations.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Explores distance, geodesics, and complete manifolds, emphasizing the existence of minimizing geodesics and the concept of metric completeness.

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Explores the implications of Baire Theorem in functional analysis and metric spaces.

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.