It really depends.  You are going to take the position that it was the reason that you signed the lease (reliance) but the lease agreement may stick you.  The original management did not misrepresent the information and in fact had the pool there for use.  You may try and see if the court will allow you to pay your rent in to court until the matter is resolved as it was a "service" that was promised and subsequently not provided.  But again, your lease is key.  Good luck.