Apartment building: a multi-unit
dwelling made up of several (generally four or more)
apartments.
Apartment tower, Block of flats or Tower block:
a high-rise apartment building.
Condominium: Separate residences with some common
areas.
Duplex: Two separate residences, usually side-by-side,
but sometimes on two different floors. The former
often looks like two houses put together, sharing
a wall; the latter usually appears as a townhouse,
but with two different entrances.
Garden Apartment: a building style usually characterized
by two story, semi-detached buildings, each floor
being a separate apartment.
Maisonette: an apartment / flat on two
levels with internal stairs, or which has its
own entrance at street level.
Penthouse: Refers to the top floor of multi-story
building.
Tenement a multi-unit dwelling made up
of several (generally four or more) apartments
(i.e. an apartment building). In the United States
the connotation implies a run-down or poorly-cared-for
building.
Loft or Warehouse conversion: Trendy flats inhabited
by bourgeois bohemian after gentrification of
an industrial area