|
|
Definition of Topology
1. Noun. 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"
2. Noun. 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. Noun. 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.
Category relationships: Math, Mathematics, Maths
Generic synonyms: Pure Mathematics
4. Noun. The configuration of a communication network.
Specialized synonyms: Bus, Bus Topology, Loop, Loop Topology, Star, Star Topology, Mesh, Mesh Topology, Physical Topology, Logical Topology
Generic synonyms: Configuration, Constellation
Definition of Topology
1. n. The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
Definition of Topology
1. Noun. (mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms. ¹
2. Noun. (mathematics) A collection ''?'' of subsets of a set ''X'' such that the empty set and ''X'' are both members of ''?'' and ''?'' is closed under arbitrary unions and finite intersections. ¹
3. Noun. (medicine) The anatomical structure of part of the body. ¹
4. Noun. (computing) The arrangement of nodes in a communications network. ¹
5. Noun. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application. ¹
6. Noun. (topography) The topographical study of geographic locations or given places in relation to its history. ¹
¹ Source: wiktionary.com
Definition of Topology
1. a branch of mathematics [n -GIES]
Medical Definition of Topology
1.
Lexicographical Neighbors of Topology
Literary usage of Topology
Below you will find example usage of this term as found in modern and/or classical literature:
1. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by Louis R. Hunt, Clyde Martin (1984)
"We will need to work with both of these topologies, however, we will usually be
using the weak topology. Consequently, whenever we refer to either C(p) or ..."
2. Catalogue of Scientific Papers, 1800-1900: Subject Index by Royal Society (Great Britain), Herbert McLeod (1908)
"... Space 414-415 fundamental Principles 415-416 Non-Euclidean geometry 417-418
Theory of Parallels ' 419-420 6420 topology of красе and hyper- space. ..."
3. Statistics, Probability, and Game Theory: Papers in Honor of David Blackwell by David Blackwell, Thomas Shelburne Ferguson, Lloyd S. Shapley, James B. MacQueen (1996)
"The objective of this paper is to introduce a mathematical setting for the theory
of point processes in which no topology is needed on the state space of ..."
4. Essays on the Prediction Process by Frank B. Knight (1981)
"On the other hand, this convergence for all t and m is easily seen to be equivalent
to that generated by the f . This topology is metrizable, for example, ..."
5. Linear Systems Theory and Introductory Algebraic Geometry by Robert Hermann (1974)
"THE ZARISKI topology As I have said already several times, one of my aims is to
develop the analogies between algebraic geometry and manifold theory. ..."
6. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2001)
"4.4 Elementary topology The study of open and closed sets in any space is called
... Much of this is a useful introduction to topology in any space; ..."
7. Invariant Measures on Groups and Their Use in Statistics by Robert A. Wijsman (1990)
"The members of 7 are called open and 7 is called the topology of X. The coarsest
topology of A, also called the trivial topology, consists of only X and the ..."
Other Resources:
Arabic