Topology definition

tə-pŏlə-jē
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(computers) The arrangement in which the nodes of a network are connected to each other.
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Topographic study of a given place, especially the history of a region as indicated by its topography.
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(medicine) The anatomical structure of a specific area or part of the body.
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(topography) The topographical study of geographic locations or given places in relation to its history.
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(math.) The study of those properties of geometric figures that remain unchanged even when under distortion, so long as no surfaces are torn, as with a Möbius strip.
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Topology is the study of the geographic features of a location.

The geographic study of the mountains, peaks and valleys in New York is an example of topology.

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The study of certain properties that do not change as geometric figures or spaces undergo continuous deformation. These properties include openness, nearness, connectedness, and continuity.
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The underlying structure that gives rise to such properties for a given figure or space.

The topology of a doughnut and a picture frame are equivalent.

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A topographical study of a specific object, entity, place, etc.

The topology of the mind.

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(med.) The topographic anatomy of a body region.
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The anatomical structure of a specific area or part of the body.
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The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.
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The physical and logical structure of a network. Physical topology refers to the physical layout of a network, specifically the physical positioning of the nodes and the circuits that interconnect them. Logical topology refers to the manner in which devices logically interconnect in a network, and may differ considerably from the physical topology. For example, an Ethernet LAN segment may comprise a number of workstations and peripheral devices that interconnect through a hub, with each device connecting directly to a hub port.The physical topology is that of a star, but the logical topology is that of a bus.That is to say that, although the devices connect to the hub over circuits that emanate from the hub like the rays of a star, they interconnect through a collapsed bus, or common electrical path, housed within the hub. LAN and WAN topologies variously include bus, mesh, partial mesh, ring, star, and tree. See also bus, Ethernet, hub, LAN, logical, mesh topology, physical, ring, segment, star topology, tree, and WAN.
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(mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
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(mathematics) A collection Ï„ of subsets of a set X such that the empty set and X are both members of Ï„ and Ï„ is closed under arbitrary unions and finite intersections.
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(medicine) The anatomical structure of part of the body.
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(computing) The arrangement of nodes in a communications network.
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(technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
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(dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
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Other Word Forms

Noun

Singular:
topology
Plural:
topologies