Lectures related to Topology in Computer-Aided Design

Topology: Lecture Notes 2021

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

Topology: Homeomorphisms

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

Topology: Lecture Notes 2021

Covers fundamental concepts of topology, group actions, and Galoisian properties.

Topology: Open and Faded Subspace

Covers open and faded subspaces in topology with examples and exercises.

The Jordan Curve Theorem

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

Topology: Fundamental Groups and Surfaces

Discusses fundamental groups, surfaces, and their topological properties in detail.

Space Identification: SO(3)

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

Invariance of Domain

Delves into the invariance of domain theorem, proving that a subset homeomorphic to an open subset is open itself, with implications for embeddings and homeomorphisms.