What type/topology of SMPS is this?
Looks like a variant of a flyback converter based around a center-tapped transformer. (Here's an example from another site.) Some things that identify it as a flyback are:


The switch is connected directly to the transformer. This indicates an isolated/off-line converter.
There's no freewheeling diode on the input side of the transformer (or any freewheeling diode at all, for that matter). That says it's a flyback.
There are multiple output voltages, which is common for a flyback. This is done by having multiple windings on the transformer.


If the drawing were more detailed, it would show opposite-polarity dots on the two sides of the transformer, which would be another giveaway.

If you build this circuit, you will probably want to buy a transformer designed for flyback converters.