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Quasicomponent

ru

Translation of "quasicomponent" into Russian

quasicomponent
Noun
raiting
UK
/ˌkwɒzɪkəmˈpəʊnənt/
US
/ˌkwɑːzɪkəmˈpoʊnənt/
quasicomponent
quasicomponents pl
The quasicomponent of a topological space is a maximal connected subset.
Квазикомпонента топологического пространства — это максимальное связное подмножество.

Definitions

quasicomponent
Noun
raiting
UK
/ˌkwɒzɪkəmˈpəʊnənt/
US
/ˌkwɑːzɪkəmˈpoʊnənt/
In topology, for a point x in a space X, the union of all connected components of X that intersect x; equivalently, the intersection of all clopen subsets that contain x.
Two points are in the same quasicomponent when no clopen set can separate them.
Any subset of a topological space obtained in this way, viewed as an equivalence class under the relation of belonging to the same quasicomponent.
The space decomposes into quasicomponents that are not necessarily connected.
quasicomponent
Adjective
raiting
UK
/ˌkwɒzɪkəmˈpəʊnənt/
US
/ˌkwɑːzɪkəmˈpoʊnənt/
Relating to or based on a quasicomponent or quasicomponents.
Quasicomponent methods provide insight into disconnected spaces.

Idioms and phrases

define a quasicomponent
Researchers aimed to define a quasicomponent in the new topological space.
определить квазикомпонент
Исследователи стремились определить квазикомпонент в новом топологическом пространстве.
quasicomponent of (something)
The quasicomponent of the subset was difficult to identify.
квазикомпонент (чего-либо)
Квазикомпонент подмножества было трудно определить.
study quasicomponents
Mathematicians continue to study quasicomponents in various fields.
изучать квазикомпоненты
Математики продолжают изучать квазикомпоненты в разных областях.
quasicomponent structure
The quasicomponent structure is crucial for understanding the overall topology.
структура квазикомпонента
Структура квазикомпонента играет важную роль в понимании общей топологии.
connected quasicomponent
Each connected quasicomponent must be analyzed separately.
связанный квазикомпонент
Каждый связанный квазикомпонент необходимо анализировать отдельно.