topology (redirected from Topological analysis)

to·pol·o·gy  (t-pl-j)

n. pl. to·pol·o·gies

1. Topographic study of a given place, especially the history of a region as indicated by its topography.

2. Medicine The anatomical structure of a specific area or part of the body.

3. Mathematics The study of the properties of geometric figures or solids that are not changed by homeomorphisms, such as stretching or bending. Donuts and picture frames are topologically equivalent, for example.

4. Computer Science The arrangement in which the nodes of a LAN are connected to each other.

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topo·logic (tp-ljk), topo·logi·cal (--kl) adj.

topo·logi·cal·ly adv.

to·polo·gist n.

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topology [təˈpɒlədʒɪ]

n

1. (Mathematics) the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc.

2. (Mathematics) a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knotting Former name analysis situs

3. (Mathematics) Maths a family of subsets of a given set S, such that S is a topological space

4. (Electronics & Computer Science / Computer Science) the arrangement and interlinking of computers in a computer network

5. (Earth Sciences / Physical Geography) the study of the topography of a given place, esp as far as it reflects its history

6. (Medicine) the anatomy of any specific bodily area, structure, or part

topologic  [ˌtɒpəˈlɒdʒɪk], topological adj

topologically  adv

topologist  n

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topology  (t-pl-j)

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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topology

a branch of mathematics that studies the properties of geometrical forms that remain invariant under certain transformations, as bending or stretching. — topologist, n. — topologic, topological, adj.

See also: Mathematics

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the study of the physical features of a specific place or area, usually accompanied by maps or charts showing relationships and elevations. — topologist, n. — topologic, topological, adj.

See also: Geography

Thesaurus

Noun	1.	topology - 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" topography - precise detailed study of the surface features of a region
	2.	topology - 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 regional anatomy, topographic anatomy anatomy, general anatomy - the branch of morphology that deals with the structure of animals
	3.	topology - 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 analysis situs math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
	4.	topology - the configuration of a communication network network topology bus topology, bus - the topology of a network whose components are connected by a busbar loop topology, loop - the topology of a network whose components are serially connected in such a way that the last component is connected to the first component star topology, star - the topology of a network whose components are connected to a hub mesh topology, mesh - the topology of a network whose components are all connected directly to every other component physical topology - the appearance of the network; "the physical topologies of local area networks include the bus, the ring and the star" logical topology - the way the network works; "a network that looks like a star can have the logical topology of a bus" configuration, constellation - an arrangement of parts or elements; "the outcome depends on the configuration of influences at the time"

Translations

topology [təˈpɒlədʒɪ] N → topología f

topology

n → Topologie f

topology [təˈpɒlədʒɪ] n → topologia