Question

Prove that the collection T of all open sets of a
matric Space x is a topology of X​

Answer 1

Answer:

Let X be a set, and C a collection of subsets of X. Then (X, C) is called

a topological space, and the elements of C are called the open sets of X, provided the

following hold:

1. ∅∈C.

2. X ∈ C.

3. If X, Y ∈ C then X ∩ Y ∈ C.

4. The union of any number (i.e. finite or infinite number) of elements of C is again an

element of C.

1

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

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