2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111656A 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.74pages with 53 figuresGeneral Mathematics05C15,05C25,51D20,51H20,51P05text