The owner or keeper of any female dog or cat shall not permit or suffer such dog or cat, while in heat, to be upon any sidewalk, street, parkway, alley, or other public place, or upon any private premises, other than the premises of the owner or keeper, or, if outdoors, upon any unfenced part of the premises of the owner or keeper which is closer to a sidewalk, street, parkway, alley, or other public place, than ten feet.