Tag A Continuous Function Mapping A Space With A Trivial Topology To Arbitrary Topology Mathematics Stack Exchange

Récent 43+ Indiscrete Topology Example

Récent 43+ Indiscrete Topology Example. Recall from the topological spaces page that a set $x$ and a collection $\tau$ of subsets of $x we will now look at two rather trivial topologies known as the discrete topologies and the indiscrete. The power set p(x) of a non empty set x is called the discrete topology on x, and the space (x,p(x)) is. To see this, take an arbitrary countably infinite subset $y$ of $x$.