(Co-operative) - housing project, you become a shareholder in a corporation that owns the building and you carry a leasehold interest in your unit and pay your proportionate share of the underlying mortgage, taxes and costs of maintaining the building.
(Home, house, or dwelling) - building is usually occupied by just one family and consists of just one unit. In some jurisdictions allowances are made for basement mother / daughter suites without changing the description from "single family".
Multifamily - a residential building equal to or larger than 2 units. Multifamily space types include all square footage in the residential units, common areas, and unconditioned space (boiler room). Occupants of Multifamily housing can include tenants, cooperators, and/or individual owners.
(Townhome) - is one of a row of homes sharing common walls. Differing from condominiums, townhouse ownership does include individual ownership of the land. There can also be common elements, such as a central courtyard, that would have shared ownership.