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.

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

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.

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.
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

topology

The branch of mathematics that deals with the properties of shapes and surfaces.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.topology - topographic study of a given place (especially the history of the place as indicated by its topography)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 regiontopology - 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
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
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
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
topologie
topologi
topoloogia
topologia
topologija
トポロジー位相幾何学位相数学

topology

[təˈpɒlədʒɪ] Ntopología f

topology

nTopologie f

topology

[təˈpɒlədʒɪ] ntopologia
References in periodicals archive ?
conf_id: The conf_id of the corresponding Configuration Change message or the ring_id of the ring to be deleted if the topology change consists of a ring deletion only and no message has been received from that ring.
An important tool for the design of load bearing parts has become the topology optimization method [1,2].
Therefore, a new topology developed to increase the number of generated output levels with the aid of lower switches.
Scholars of philosophy explore the role of topology in Freudian and Lacanian psychoanalysis both generally and in specific contexts in which this epistemological reference provides insight into the nature of mental apparatus, language, and knowledge.
This paper describes a new multilevel inverter topology based on asymmetric sources, the proposed topology focuses on reducing the number of switching devices.
One of them, Buck [7], investigated the space of continuous functions with the strict topology and the other one, the Polish mathematician Alexiewicz [4], considered a vector space E on which two norms are given and defined a notion of convergence of sequences in E, which, in some sense, mixed the topologies given by the two norms.
Reference [8] investigated a general high-order model for linear multiagent systems (LMASs) under a fixed communication topology and presented some consensus criteria.
It has been seen that X" topology requires 4 transmissions in non-COPE case but requires only 3 transmissions in COPE case, we can easily find out the coding gain.
An Illustrated Introduction To Topology And Homotopy
Lot 1:Software and hardware kit electrical circuits, boards and ROI topologies: Altium Designer 14 "or equivalent software for the simulation of electrical circuits and printed circuit board design, assembly (6 licenses), Lot 2:Software and hardware kit electrical circuits, boards and ROI topologies: Cadence IC Package Release 2013-14, or equivalent software for the modeling of integrated circuit design and topology, set, Lot 3: Software and hardware kit electrical circuits, boards and ROI topologies: Advanced TCAD or equivalent semiconductor processes and devices for computing toolkit, Lot 4:Software and hardware kit electrical circuits, boards and ROI topologies: Workstations I.
Topology is relatively one of the new branches of mathematics which investigates topological spaces.
Csaszar: Generalized topology, generalized continuity, Acta Math.