Connected space

Related lectures (31)

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Covers the concept of graph sketching with a focus on connected components.

Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Explores vector fields, potentials, and their relationship, focusing on necessary and sufficient conditions.

Explores strongly connected components and condensation digraphs in networked control systems, demonstrating their practical implications.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores Green's Theorem application in domain analysis and potential functions.