Question 6. In a topological space (X.r) a subset Bof X is called a 7- open subset of X if Bc(B)u(B). The family of all y-open subsets of X is denoted by 0(X). Show that 0(X) is closed under arbitrary union.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
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Chapter4: More On Groups
Section4.5: Normal Subgroups
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Question 6. In a topological space (X.r) a subset Bof X is called a
7-open subset of X if Bc(B)u(B). The family of all y-open subsets
of X is denoted by 70(X). Show that )0(X) is closed under arbitrary
union.
Transcribed Image Text:Question 6. In a topological space (X.r) a subset Bof X is called a 7-open subset of X if Bc(B)u(B). The family of all y-open subsets of X is denoted by 70(X). Show that )0(X) is closed under arbitrary union.
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