topology

名词 n.
中文释义
英 /təˈpɒləd͡ʒi/    美 /təˈpɑləd͡ʒi/

英文释义

名词 n.
  1. The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing). uncountable
    — 1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v, This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.
  2. Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions. countable,uncountable
    — A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau).
  3. The anatomical structure of part of the body. countable,uncountable
  4. The arrangement of nodes in a communications network. countable,uncountable
  5. The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application. countable,uncountable
  6. The topographical study of geographic locations or given places in relation to their history. countable,uncountable
  7. The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place. countable,dated,uncountable

词形变化

topologies plural

词汇关系

衍生词
Alexandrov topology algebraic topology bus topology circuit topology cofinite topology combinatorial topology differential topology discrete topology disjoint union topology ditopology electrotopology final topology geometric topology Grothendieck topology heterotopology hypertopology initial topology link topology mereotopology microtopology nanotopology network topology pointfree topology pointless topology point-set topology pretopology product topology psychotopology relative topology retopology ring topology Scott topology standard topology star topology subspace topology subtopology topologic trivial topology Zariski topology
相关词
topological topologically topological space topologist toponymy homotopy
部分词
open set

词源

From Late Latin topologia, from By surface analysis, topo- (“place”) + -logy (“study of, a branch of knowledge”).
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