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topology    
n. 地志学,拓扑数学,局部解剖学

地志学,拓扑数学,局部解剖学

topology
拓扑

topology
拓扑学 布局

topology
n 1: 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: 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 [synonym:
{regional anatomy}, {topographic anatomy}, {topology}]
3: 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 [synonym: {topology},
{analysis situs}]
4: the configuration of a communication network [synonym:
{topology}, {network topology}]

Topology \To*pol"o*gy\, n. [Gr. ? place -logy.]
The art of, or method for, assisting the memory by
associating the thing or subject to be remembered with some
place. [R.]
[1913 Webster]

2. a branch of mathematics which studies the properties of
geometrical forms which retain their identity under
certain transformations, such as stretching or twisting,
which are homeomorphic. See also {topologist}.
[PJC]

3. configuration, especially in three dimensions; -- used, e.
g. of the configurations taken by macromolecules, such as
superhelical DNA.
[PJC]


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  • Topology - Wikipedia
    Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing
  • Types of Network Topology - GeeksforGeeks
    Network topology refers to the arrangement of different elements like nodes, links, or devices in a computer network Common types of network topology include bus, star, ring, mesh, and tree topologies, each with its advantages and disadvantages
  • Topology | Types, Properties Examples | Britannica
    topology, branch of mathematics, sometimes referred to as “rubber sheet geometry,” in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending, twisting, stretching, and shrinking while disallowing tearing apart or gluing together parts
  • TOPOLOGY Definition Meaning - Merriam-Webster
    The meaning of TOPOLOGY is topographic study of a particular place; specifically : the history of a region as indicated by its topography How to use topology in a sentence
  • Introduction to Topology - Cornell University
    (Discrete topology) The topology defined by T:= P(X) is called the discrete topology on X (Finite complement topology) Define Tto be the collection of all subsets U of X such that X U either is finite or is all of X
  • Topology -- from Wolfram MathWorld
    Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects Tearing, however, is not allowed A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid
  • Topology - Harvard University
    Topology is simply geometry rendered exible In geometry and analysis, we have the notion of a metric space, with distances speci ed between points But if we wish, for example, to classify surfaces or knots, we want to think of the objects as rubbery Examples For a topologist, all triangles are the same, and they are all the same as a circle





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