Is the pool considered a common area?
In most cases, yes. Swimming pools in apartment complexes, condominiums, and other multi-family housing developments are usually common areas. Common areas are open to all residents of the community and are not owned by any individual unit owner.
The pool area may include the swimming pool itself, as well as surrounding areas such as decks, patios, and restrooms. These areas are typically maintained by the management or homeowners association of the community and are subject to shared rules and regulations.