Associations to the word «Topology»


TOPOLOGY, noun. (mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
TOPOLOGY, noun. (mathematics) A collection τ of subsets of a set X such that the empty set and X are both members of τ and τ is closed under arbitrary unions and finite intersections.
TOPOLOGY, noun. (medicine) The anatomical structure of part of the body.
TOPOLOGY, noun. (computing) The arrangement of nodes in a communications network.
TOPOLOGY, noun. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
TOPOLOGY, noun. (topography) The topographical study of geographic locations or given places in relation to its history.
TOPOLOGY, noun. (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Dictionary definition

TOPOLOGY, noun. Topographic study of a given place (especially the history of the place as indicated by its topography); "Greenland's topology has been shaped by the glaciers of the ice age".
TOPOLOGY, noun. The study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region.
TOPOLOGY, noun. The branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions.
TOPOLOGY, noun. The configuration of a communication network.

Wise words

When ideas fail, words come in very handy.
Johann Wolfgang von Goethe