# Category:Indiscrete Topology

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This category contains results about Indiscrete Topology.

Let $S \ne \varnothing$ be a set.

Let $\tau = \left\{{S, \varnothing}\right\}$.

Then $\tau$ is called the **indiscrete topology** on $S$.

## Subcategories

This category has only the following subcategory.

### T

## Pages in category "Indiscrete Topology"

The following 38 pages are in this category, out of 38 total.

### C

### I

- Indiscrete Non-Singleton Space is not T0
- Indiscrete Space is Arc-Connected iff Uncountable
- Indiscrete Space is Connected
- Indiscrete Space is Hereditarily Compact
- Indiscrete Space is Irreducible
- Indiscrete Space is Non-Meager
- Indiscrete Space is Path-Connected
- Indiscrete Space is Pseudometrizable
- Indiscrete Space is Second-Countable
- Indiscrete Space is Separable
- Indiscrete Space is T3
- Indiscrete Space is T4
- Indiscrete Space is T5
- Indiscrete Space is Ultraconnected
- Indiscrete Topology is Coarsest Topology
- Indiscrete Topology is not Metrizable
- Indiscrete Topology is Topology
- Interior of Subset of Indiscrete Space

### S

- Sequence in Indiscrete Space converges to Every Point
- Singleton Partition yields Indiscrete Topology
- Subset of Indiscrete Space is Compact
- Subset of Indiscrete Space is Compact and Sequentially Compact
- Subset of Indiscrete Space is Dense-in-itself
- Subset of Indiscrete Space is Everywhere Dense
- Subset of Indiscrete Space is Sequentially Compact