Can undead creatures (raised by a necromancy spell) climb a rope, climb a ladder, or swim?


I’m thinking about making a Necromancy wizard, but had a few questions about RAW.

Would undead from the animate undead spell (or any necromancer spells), e.g. skeletons or zombies, be able to climb a rope, climb a ladder, or swim?

I feel like they would be able to climb a ladder, the rope is a little iffy, and swimming would be a no.

That said, I haven’t found any restrictions or parameters in the PHB or DMG that mention those rules.

Any help would be appreciated, thanks!