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Related lectures (31)
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Topology: Fundamental Groups and Applications
Provides an overview of fundamental groups in topology and their applications, focusing on the Seifert-van Kampen theorem and its implications for computing fundamental groups.
Universal Covering
Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.
Topology: Fundamental Groups and Surfaces
Discusses fundamental groups, surfaces, and their topological properties in detail.
Homology: Introduction and Applications
Introduces homology as a tool to distinguish spaces in all dimensions and provides insights into its construction and applications.
Abélianization: Fundamental Groups
Explores abélianization of fundamental groups in commutative spaces with examples and proofs.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Abelianization of Fundamental Group
Explores abelianization examples, homomorphisms, and isomorphisms in group theory.
Fundamental Group of Wedge
Explores the fundamental group of a wedge and its applications.
Uncertainty Quantification for Coarse-Grained Molecular Dynamics
Delves into uncertainty quantification in molecular dynamics, focusing on aerospace materials, modeling decisions, and coarse-grained dynamics.
Seifert van Kampen: the point
Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.
The Klein bottle
Explains the cellular structure of the Klein bottle and its homomorphism to Möbius strips.
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