Two main properties of Interior of a set in a topological space
Автор: Maths tv(Muhammad Asif Nazir)
Загружено: 2022-07-04
Просмотров: 651
Описание:
Here we discuss two main properties of Interior of a set in topological space x
which are
int(A) intersection int(B) = int(A intersection B)
Here we discuss two main properties of Interior of a set in topological space x
which are
int(A) Union int(B) subset of int(A Union B)
but equality doesn't holds in general
for this we use to more properties whish are int(A) is subset of A
and int(A) =A if and only if A is open
we give counter example by using usual topology on R the set of real numbers and by taking it's subsets Q and Q'
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