topology
The branch of mathematics dealing with those properties of a geometrical object that…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).
» Topology is a branch of mathematics.
Топологія — розділ математики.
Meaning
7 senses(uncountable)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).
(countable, uncountable)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.
A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau).
The subsets of a set X which constitute a topology are called the open sets of X.
(countable, uncountable)The anatomical structure of part of the body.
тополо́гияtopológija
(countable, uncountable)The arrangement of nodes in a communications network.
Topologie
тополо́гияtopológija
the configuration of a communication network
(countable, uncountable)The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
Topologie
тополо́гияtopológija
тополо́гіяtopolóhija
(countable, uncountable)The topographical study of geographic locations or given places in relation to their history.
topographic study of a given place (especially the history of the place as indicated by its topography)
(countable, dated, uncountable)The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
Examples
5 sentencesTopology is a branch of mathematics.
Топологія — розділ математики. — deniko
Algebraic topology is a branch of mathematics.
What network topologies do you know about?
A manifold is like a three-layer cake: on the bottom, a set; in the middle, a topology; on top, an atlas.
You are not good in topology. Of course, the south of a globe could be at the top.
Translations
8 languagesBy meaning 1
By meaning 1
By meaning 1
Origin
From Late Latin topologia, from By surface analysis, topo- (“place”) + -logy (“study of, aFrom Late Latin topologia, from By surface analysis, topo- (“place”) + -logy (“study of, a branch of knowledge”).
Wiktionary, CC BY-SA 4.0 · source
Forms
plural: topologies| Singular | topology |
|---|---|
| Plural | topologies |
regular
Synonyms
5 synonyms- the configuration of a communication network:network 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:analysis situs
- 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:regional anatomytopographic anatomy
Word family
39 related wordsLessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable