# Properties of Discrete Topology

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## Contents

## Properties of Discrete Topology

Let $T = \left({S, \tau}\right)$ be a discrete topological space.

This page gathers up some results about $\left({S, \tau}\right)$.

### Discrete Topology is Topology

- $\tau$ is a topology on $S$.

### Set in Discrete Topology is Clopen

### Discrete Topology is Finest Topology

- $\tau$ is the finest topology on $S$.