Lectures related to Topology: Continuous Deformations

Topology: Lecture Notes 2021

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.

Topology Seminar: Tower Sequences and Homomorphisms

Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.

Symmetry in Modern Topology

Explores the concept of symmetry in various geometric transformations.

Topology: Homomorphisms and Galois Theory

Explores homomorphisms in topology and delves into Galois theory.

Free Abelian Groups and Homomorphisms

Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.

Topology of Riemann Surfaces

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

Topology of Riemann Surfaces

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

Topologie: Attachment Applications

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

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Topology: Homeomorphisms

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

Topology & Modern Symmetry

Delves into topology, homomorphism, and their practical implications on CAD software.

Topology in Computer-Aided Design

Explores how sketches in TopSolid manage seams and cuts of different profile types in Computer-Aided Design.

Spatial relations and topology

Covers spatial relations and topology in GIS, emphasizing the importance of topological consistency in spatial analysis.

Cell Attachment and Homotopy

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Topology: Course Notes 2021

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Pushouts in Group Theory: Universal Properties Explained

Covers the construction and universal properties of pushouts in group theory.

Homotopy and Quotient Spaces

Covers homotopy, quotient spaces, and the universal property in topology.

Topology: Compactness and Continuity

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).