Category:Indiscrete Topology
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This category contains results about the indiscrete topology.
Definitions specific to this category can be found in Definitions/Indiscrete Topology.
Let $S \ne \O$ be a set.
Let $\tau = \set {S, \O}$.
Then $\tau$ is called the indiscrete topology on $S$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
I
T
- Trivial Topological Space (3 P)
Pages in category "Indiscrete Topology"
The following 40 pages are in this category, out of 40 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