topology(redirected from Topological analysis)
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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.
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.
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.
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
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)
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.
top•o•log•ic (ˌtɒp əˈlɒdʒ ɪk) top`o•log′i•cal, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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.
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
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
-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.
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
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|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|
|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|
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|
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
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"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
topology[təˈpɒlədʒɪ] N → topología f
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
n → Topologie 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] n → topologia
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995