Question

A space
d(X,T)
is called a discrete topological space if every subset of X is _________

Answer 1

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Answer on Question #55543 – Math – Topology

Question

A space $d(X,T)$ is called a discrete topological space if every subset of $X$ is ____

Solution

A space $d(X,T)$ is called a discrete topological space if every subset of $X$ is OPEN.

**Remark.** In a discrete topological space every subset of $X$ is also closed.

Answer: OPEN