Introduction to Topology

Related lectures (31)

Page 2 of 4

Covers the compact-open topology, defining maps between spaces and discussing continuous maps and preimages in topology.

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers normed vector spaces, topology in R^n, and the principle of drawers as a demonstration method.

Covers the concept of orientation and degrees in topology, focusing on assigning orientations to manifolds.

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

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

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

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

Covers vector spaces, topology, and proof methods like the pigeonhole principle in R^n.