  A Smarandache multi-space is a union of $n$ different spaces equipped with
some different structures for an integer $n\geq 2$, which can be both used for
discrete or connected spaces, particularly for geometries and spacetimes in
theoretical physics. This is the third part on multi-spaces concertrating on
Smarandache geometries, including those of map geometries, planar map
geometries and pseudo-plane geometries. In where, the Finsler geometry,
particularly the Riemann geometry appears as a special case of these
Smarandache geometries.
