We have neither condos or co-ops.

We have flats.

Estate agents sometimes sell apartments but we still call them flats. Some are leasehold (99yrs usually), effectively owner-occupied, with either an external landlord holding the freehold or a share in a separate company which owns the freehold. Some operate on a landlord-tenant basis with a private landlord, some are owned by the local authority and leased to tenants, some are owned by housing associations and leased to tenants.