Topology
Topology 102 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia For other uses, see Topology (disambiguation) . Not to be confused with topography or typology . A three-dimensional model of a figure-eight knot . The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1 . In mathematics , topology (from the Greek words τόπος , 'place, location' and λόγος , 'study') concerns with the properties of a geometric object that are preserved under continuous deformations , such as stretching , twisting , crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a topology , which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity . Euclidean spaces , and, more generally, metric spaces are examples of a topological space, as an