Cellular structure of the torus with two holes

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Related lectures (31)

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Homotopies & Equivalence Relations

Covers homotopies, fundamental group, and equivalence relations in applications.

Seifert-van Kampen Theorem

Explores the Seifert-van Kampen theorem, focusing on group pushouts and well-bridged groups.

Topology: Fundamental Groups and Surfaces

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

Active galaxies: AGN and Black Holes

Explores the classification and statistics of AGN, black holes, unified AGN model, variability, megamasers, orbital motion measurement, and time-delay cosmography.

Group Actions and Fundamental Groups

Delves into group actions, coverings, fundamental groups, and homomorphisms in topological spaces.

Astroparticle Physics: Neutron Stars and Cosmic Rays

Explores neutron stars, supernova explosions, and their role in cosmic ray production.

Student Feedback and Topology Concepts

Covers student feedback, group exercises, and fundamental topology concepts, emphasizing the importance of understanding coverings and group actions.

Stability of Piles and Battery Systems

Discusses battery system stability, reinforcement flow in concrete, and second-order verification of floating systems.

Dark Matter Indirect Detection

Explores dark matter indirect detection methods, including WIMPs, gamma-ray observations, and supermassive black holes.

Preparations for Surjection

Covers the fundamental group of a reattachment and surjection proofs with neighborhoods and cover overlays.