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en

Subopen

ru

Translation of "subopen" into Russian

subopen
Noun
raiting
subopen
subopens pl
In topology, denotes a subset that is subopen.
суботкрытое множество
Термин топологии
Let V be a subopen of X containing the image of f.
Пусть V — суботкрытое множество пространства X, содержащее образ f.
Additional translations
подоткрытое множество
Редкий вариант; термин топологии
subopen
Adjective
raiting
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
subopen
more subopen Comp.
most subopen Super.
Used chiefly in topology to describe subsets that are contained in the interior of their closure.
суботкрытый
Термин топологии
Every open set is subopen, but a subopen set need not be open.
Каждое открытое множество является суботкрытым, но суботкрытое множество не обязательно открыто.
Additional translations
подоткрытый
Редкий вариант; термин топологии

Definitions

subopen
Noun
raiting
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
(Mathematics, topology) A subset of a topological space that is subopen; a subopen set.
Let V be a subopen of X containing the image of f.
subopen
Adjective
raiting
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
UK
/sʌbˈəʊpən/
US
/sʌbˈoʊpən/
(Mathematics, topology) Of a subset of a topological space: contained within the interior of its closure (weaker than open).
Every open set is subopen, but a subopen set need not be open.