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Geometry and topology : ウィキペディア英語版 | Geometry and topology
In mathematics, geometry and topology is an umbrella term for geometry and topology, as the line between these two is often blurred, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory. Sharp distinctions between geometry and topology can be drawn, however, as discussed below. It is also the title of a journal ''Geometry & Topology'' that covers these topics. ==Scope== It is distinct from "geometric topology", which more narrowly involves applications of topology to geometry. It includes: * Differential geometry and topology * Geometric topology (including low-dimensional topology and surgery theory) It does not include such parts of algebraic topology as homotopy theory, but some areas of geometry and topology (such as surgery theory, particularly algebraic surgery theory) are heavily algebraic.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Geometry and topology」の詳細全文を読む
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