# topology

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## to·pol·o·gy

(tə-pŏl′ə-jē)
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
a. 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.
b. 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.
4. Computers The arrangement in which the nodes of a network are connected to each other.

to·pol′o·gist n.

## 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. (Computer Science) the arrangement and interlinking of computers in a computer network
5. (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
toˈpologist n
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## to•pol•o•gy

(təˈpɒl ə dʒi)

n.
1. the mathematical study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
2. the topography of a place or entity.
[1650–60]
top•o•log•ic (ˌtɒp əˈlɒdʒ ɪk) top`o•log′i•cal, adj.
to•pol′o•gist, n.

## to·pol·o·gy

(tə-pŏl′ə-jē)
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.

## 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.
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.

## topology

The branch of mathematics that deals with the properties of shapes and surfaces.
Dictionary of Unfamiliar Words by Diagram Group Copyright © 2008 by Diagram Visual Information Limited
ThesaurusAntonymsRelated WordsSynonymsLegend:
 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 regionanatomy, 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 directionsanalysis situsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementpure 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 networknetwork topologybus topology, bus - the topology of a network whose components are connected by a busbarloop 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 componentstar topology, star - the topology of a network whose components are connected to a hubmesh topology, mesh - the topology of a network whose components are all connected directly to every other componentphysical 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"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
topologie
topologi
topoloogia
topologia
topologija
トポロジー位相幾何学位相数学

## topology

[təˈpɒlədʒɪ] N
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## topology

nTopologie f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## topology

[təˈpɒlədʒɪ] ntopologia
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Built-in network model, real-time topological analysis, and integration to simulation packages allow new and innovative features like validation and simulation of all operations.
Due to this, in this second step, a topological analysis of the pruned network is performed in order to identify network's Hubs.
Yet, what also matters in bringing Agamben and Butler into this topological analysis of space is the dialogue that may be opened by juxtaposing their treatments of the camp.
Additionally, topological analysis of the GRNs revealed that all four networks exhibited the small-word property (28) and scales-free architecture (29) which are the well-known characteristics of most biological networks (Figure 1).
(2009) examined which type of relation between the words would present a scale-free distribution pattern in the topological analysis. Examining the acquisition of words by children aged 16 to 30 months, two networks were formed: (a) one from the common semantic attributes between the words (for example, having eyes and being hairy) and (b) another from the target-associate relation in the word association task.
The bond formation between the oxygen atoms in the tetraoxygen molecule on the singlet and triplet states is confirmed by atoms in molecules topological analysis of wave function.

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