Jiarul Hoque

2 Questions 3 Answers 0 Followers

Questions related from Jiarul Hoque

Suppose A \subseteq (X, \tau, I) be such that A is non-empty and A = U \cap V, where U is open and V is -perfect. Is it true that A \subseteq A ?

By the triplet (X, \tau, I), we mean an ideal topological space, where \tau is a topology on X, and I is an ideal on X i.e., I is a non-empty family of some subsets of X satisfying the conditions...

05 September 2022 4,724 1 View

Suppose a subset A is neither open nor closed in a topological space. Does the property "cl(A) \subset B for any b-open set B \supset A" hold?

Andrijevic introduced the notion of b-open set in 1996 as: A is b-open iff A \subset int(cl(A)) \cup cl(int(A)).

17 August 2022 3,748 5 View

Jiarul Hoque

Suppose A \subseteq (X, \tau, I) be such that A is non-empty and A = U \cap V, where U is open and V is *-perfect. Is it true that A \subseteq A* ?

Suppose a subset A is neither open nor closed in a topological space. Does the property "cl(A) \subset B for any b-open set B \supset A" hold?

Suppose A \subseteq (X, \tau, I) be such that A is non-empty and A = U \cap V, where U is open and V is -perfect. Is it true that A \subseteq A ?