Lectures related to Quotient Topology

Topologie: Attachment Applications

Covers exercises on attaching 1-cells to intervals in topology.

Open Balls and Topology in Euclidean Spaces

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

Topology: Homeomorphisms

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

Norms and Distances in Analysis II

Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Euclidean Spaces: Properties and Concepts

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Advanced Analysis II: Recap and Open Sets

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Topologie: Exercice 4

Covers Exercise 4 in Topology, focusing on continuous functions and constructing functions.

Topology: Functions and Solutions

Explores topology, functions, and solutions, emphasizing reduction to Cauchy and uniformization.

Topology: Bocage Course Notes

Explores continuity, surjectivity, and injectivity in topology functions.

Manifolds: Charts and Compatibility

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Topology of Riemann Surfaces

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

Metric Spaces: Topology and Continuity

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Topology: Exploring Cohomology and Quotient Spaces

Covers the basics of topology, focusing on cohomology and quotient spaces, emphasizing their definitions and properties through examples and exercises.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Recognizing a Quotient

Discusses the recognition of a quotient in topology and the properties of the quotient topology.

Norms and Convergence

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

Vector Spaces and Topology

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

Delta-complexes: Structure and Maps

Covers the structure and uniqueness of maps in delta-complexes on top spaces.

Modular curves: Riemann surfaces and transition maps

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.