Invariance of Domain

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Related lectures (27)

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The Jordan Curve Theorem

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

Topology: Separation Criteria and Quotient Spaces

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Power of a Point in Geometry

Explores the power of a point outside a circle and its practical applications.

Geometry: Eulerian Circuits

Explores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.

Open Balls and Topology in Euclidean Spaces

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Circle Orthogonal & Poincaré Disk

Covers circle orthogonal and Poincaré disk concepts in geometry.

Euclidean Spaces: Properties and Concepts

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Structural Design: Concepts and Innovations

Explores fundamental aspects of structural design, emphasizing safety and comfort in buildings through factors like loads, supports, materials, and innovative designs.

Topology: Homotopy and Cone Attachments

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Inversion & Family of Orthogonal Circles

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.