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Lecture
Topological Groups
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Related lectures (30)
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Topology: Lecture Notes 2021
Covers fundamental concepts of topology, group actions, and Galoisian properties.
Symmetries and Groups in Quantum Mechanics
Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.
Topology: Homotopy and Cone Attachments
Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.
Modular curves: Riemann surfaces and transition maps
Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Metric Spaces: Topology and Continuity
Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.
Manifolds: Charts and Compatibility
Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.
Homotopy and Quotient Spaces
Covers homotopy, quotient spaces, and the universal property in topology.
Homogeneous Spaces and Quotients
Covers homogeneous spaces, group actions, and separating quotient spaces in mathematics.