TOPOLOGY
Topology 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 41. 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 any distance or metric defines a topology. The deformations t...