topologynoun/təˈpɒləd͡ʒi/

• 1

  mathematicssciencesThe branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).

  • 1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v, This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.
  • 1974 [Crane, Russak & Co.], H. Graham Flegg, From Geometry to Topology, 2001, Dover, page v, Many university courses in topology plunge immediately into a formalized and entirely abstract presentation of topological concepts.
• 2

  mathematicssciencestopologyAny collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.

  • A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau).
  • The subsets of a set X which constitute a topology are called the open sets of X.
• 3

  medicinesciencesThe anatomical structure of part of the body.

• 4

  computingengineeringmathematicsThe arrangement of nodes in a communications network.

• 5

  engineeringnatural-sciencesphysical-sciencesThe properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

• 6

  geographynatural-sciencestopographyThe topographical study of geographic locations or given places in relation to their history.

• 7

  datedThe art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.