Symmetry in 3D Geometry

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Related lectures (31)

Page 3 of 4

Topology: Course Notes

Covers the definition of edges, vertices, and cells in geometric shapes.

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.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

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.

Spatial Relations and Topology

Covers spatial relations, topology, adjacency, connectivity, and intersections in geographic information systems.

Topology: Disk Deprivation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Symmetry and Group Theory: Exercise Set 3

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Modular curves: Riemann surfaces and transition maps

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