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Topology vs. Topography

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Topologynoun

(mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.

Topographynoun

A precise description of a place.

Topologynoun

(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 finitary intersections and arbitrary unions.

Topographynoun

A detailed graphic representation of the surface features of a place or object.

Topologynoun

(medicine) The anatomical structure of part of the body.

Topographynoun

The features themselves; terrain.

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Topologynoun

(computing) The arrangement of nodes in a communications network.

Topographynoun

The surveying of the features.

Topologynoun

(technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

Topographynoun

The description of a particular place, town, manor, parish, or tract of land; especially, the exact and scientific delineation and description in minute detail of any place or region.

Topologynoun

(topography) The topographical study of geographic locations or given places in relation to their history.

Topographynoun

the configuration of a surface and the relations among its man-made and natural features

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Topologynoun

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

Topographynoun

precise detailed study of the surface features of a region

Topologynoun

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

Topographynoun

the arrangement of the natural and artificial physical features of an area

‘the topography of the island’;

Topologynoun

a branch of mathematics which studies the properties of geometrical forms which retain their identity under certain transformations, such as stretching or twisting, which are homeomorphic. See also topologist.

Topographynoun

a detailed description or representation on a map of the physical features of an area.

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Topologynoun

configuration, especially in three dimensions; - used, e. g. of the configurations taken by macromolecules, such as superhelical DNA.

Topographynoun

the distribution of parts or features on the surface of or within an organ or organism.

Topologynoun

topographic study of a given place (especially the history of place as indicated by its topography);

‘Greenland's topology has been shaped by the glaciers of the ice age’;

Topography

Topography is the study of the forms and features of land surfaces. The topography of an area could refer to the surface forms and features themselves, or a description (especially their depiction in maps).

Topologynoun

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

Topologynoun

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

Topologynoun

the configuration of a communication network

Topologynoun

the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.

Topologynoun

a family of open subsets of an abstract space such that the union and the intersection of any two of them are members of the family, and which includes the space itself and the empty set.

Topologynoun

the way in which constituent parts are interrelated or arranged

‘the topology of a computer network’;

Topology

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.

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