# 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.

**top′o·log′ic**(tŏp′ə-lŏj′ĭk),

**top′o·log′i·cal**(-ĭ-kəl)

*adj.*

**top′o·log′i·cal·ly**

*adv.*

**to·pol′o·gist**

*n.*

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## 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

**topologic**,

**ˌtopoˈlogical**

*adj*

**ˌtopoˈlogically**

*adv*

**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.*

**top`o•log′i•cal•ly,**

*adv.*

**to•pol′o•gist,**

*n.*

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## 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.

The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

**topology**

a branch of mathematics that studies the properties of geometrical forms that remain invariant under certain transformations, as bending or stretching.

See also: Mathematics**— 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. —

See also: Geography**topologist,***n.*—**topologic, topological,***adj.*-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.

## 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 WordsSynonyms

**Legend:**Switch to new 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 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 directionsmath, 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 networkbus 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" |

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**

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

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

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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