There are many solvent glues that have been specifically formulated for use with different plastic pipes.
Depending on the schedule of the piping 40, 80 etc what type of glue you want to use, some are slow setting some set very quickly and the choice of the glue also would depend on the ambient temperature and humidity factor.
It also depends on whether you want to use the glue for waste or water. Water PVC pipes need high pressure glue where as waste pipes don't.
A PVC glue such as Weld On 711, and primer.
There is no special PVC pipe. CPVC can be used for hot water applications or in my opinion just use PEX pipe.
Pva wood glue
No, they cannot be connected. There is no glue on the market at the present time that can glue PVC & ABS together. It's difficult, as after one tries to glue it it gives the impression of being solid, but under pressure it will fail. Also, keep in mind that some plumbing codes do not allow ABS pipe to be used.
Oil is not used in any glue that I can think of.
NO, PVC is very sensitive to which glue is used. In Domestic pipe applications you should use Weld-On 711
Galvanized pipe for water and drain lines. Cast iron pipe for main drain lines.
Pritt stick or white glue
If you re-piped your domestic supply with glued PVC pipe it will take a few weeks of use. - You should have used PEX !
Schedule 40 Foam Core pipe can be used for DWV systems, and Schedule 40 pressure rated pipe (PW) should be used for water lines, and can also be used for DWV. CPVC can also be used for water lines.
'Slip fit' is a term used where a pipe or fitting easily slips inside the 'neck' of another associated piece. Some kind of glue is always used in 'slip fit' parts.
An epoxy glue would work best.
Gorilla glue can work underwater. Elmer's Glue can not.