Overview
Marvel's Wolverine is not set in an open world. It is a focused, story-driven single-player action-adventure.
Confirmed details
That does not mean there is nothing optional to do: official material describes Nightmare Doors, collectible whisky bottles, material crates, suit crafting, and replay-oriented activities.
Keep claims verified
Treat claims about a freely explorable city map or open-world side-content systems as unconfirmed unless PlayStation announces them.