Topology

From AoPSWiki

Topology is a field of mathematics that can be considered an extension to geometry: It involves the study of space and its structure. The word "topology" also denotes a topological space, a specific kind of mathematical construct that satisfies certain axioms. Topology is often considered one of the cornerstones of pure mathematics.

Important Concepts

• Homeomorphism
• Diffeomorphism
• Ambient isotopy
• Manifold

See Also

• Graph theory
• Geometry
• Knot theory
• Dynamical system
• Klein bottle
• Moebius strip
• Fractal

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