Category:Discrete Topology

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This category contains results about Discrete Topology.
Definitions specific to this category can be found in Definitions/Discrete Topology.

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

Let $\tau = \powerset S$ be the power set of $S$.

That is, let $\tau$ be the set of all subsets of $S$:

$\tau := \set {H: H \subseteq S}$


Then $\tau$ is called the discrete topology on $S$ and $\struct {S, \tau} = \struct {S, \powerset S}$ the discrete space on $S$, or just a discrete space.

Pages in category "Discrete Topology"

The following 73 pages are in this category, out of 73 total.