Topology - Physics

Japanese: 位相幾何学 - いそうきかがく

Also known as topology. A branch of geometry that studies the topological properties of geometric figures (spaces). When the mapping from space A to B is one-to-one and continuous, and the inverse mapping from B to A is also continuous, this mapping is called a topological mapping, and A and B are in phase, and properties that are invariant under a topological mapping, that is, properties common to spaces with the same phase, are called topological properties. Classic problems in topology include Euler's theorem for polyhedra, the Königsberg bridge problem, and the four-colour problem on maps. → Topological spaces / Topology / Mathematics → Related topics Geometry | Surfaces | Three-body problem | Topology | One-stroke drawing | Knot theory | Möbius strip

Source : Heibonsha Encyclopedia About MyPedia Information

Japanese:

トポロジーとも。幾何学的図形（空間）の位相的性質を研究する幾何学の部門。空間AからBへの写像が一対一，連続で，BからAへの逆写像も連続なとき，この写像を位相写像，AとBを同位相であるといい，位相写像で不変な性質，つまり同位相の空間に共通する性質を位相的性質という。位相幾何学の古典的問題としては，多面体のオイラーの定理，ケーニヒスベルクの橋の問題，地図の四色(ししょく)問題などがある。→位相空間／位相数学／数学
→関連項目幾何学｜曲面｜三体問題｜トポロジー｜一筆書き｜結び目理論｜メービウスの帯

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