Topology collection

Shared by Yusuf Balogun • topology, mathematics • 1950

In mathematics , topology (from the Greek words τόπος , 'place, location', and λόγος , 'study') is concerned 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