Define interior point in metric space

1

Let (X, d) be a metric space and A be a subset of X. then a point x ∈ X is called an interior point of A iff A is a neighborhood of x.

2

Let (X, d) be a metric space and A be a subset of A. then a point x ∈ X is called an interior point of A iff A is a neighborhood of x.

3

Let (X, d) be a metric space and A be a subset of X. then a point x ∈ X is called an interior point of A iff A is not a neighborhood of x.

4

Let (X, d) be a metric space and A be a subset of X. then a point x ∈ X is called an interior point of A iff A is a deleted neighborhood of x.

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