charging 4 Li-Ion cell in parallel with a bench top power supply
4.1 Volts with negligible current means it is full.



Basically the steps are:


Charge Constant Current. Using constant voltage here would give you an enormous current, heat and eventually smoke.
See the datasheet for the maximum charging current, otherwise use the rule of thumb: 10% of capacity.
The moment you "switch" from CC to CV is when the supply no longer limits on current.
Charge Constant Voltage. The last bit is in constant voltage, since the battery can't take more current without exceeding the voltage rating and overheating. 


Basically you can set the power supply to a maximum current (eg: 10%) and voltage, (4.1 V) and connect the battery.

Depending on the size of the battery you might not want to hot-plug it. Use digital soft on-off. Else set the end of the fine trim to be 4.1 Volt, turn fine all down, attach battery and turn fine up again for manual "soft" on.

During charging keep an eye on:
- Time. If voltage or current do not change within expected time, stop.
- Temperature. If you can't touch it, stop.
- Bulging. Stop and bring it outdoors.  

Lithium-ion/polymer batteries can explode violently, respect them.