Principles of Topology
Автор: Creative Things Lucifer
Загружено: 2024-06-08
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Principles of Topology.
Topology is a branch of mathematics focused on the properties of space that are preserved under continuous deformations such as stretching, crumpling, and bending, but not tearing or gluing. Central concepts include open sets, which define the topology of a space; continuity, which describes the behavior of functions between topological spaces; and homeomorphism, indicating a bijective, continuous function with a continuous inverse, signifying topological equivalence. Important topological spaces include the real line, the plane, and n-dimensional spaces. Key properties studied include connectedness, compactness, and convergence.
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