Strict sums and semicontinuity below metric projections in linear normed spaces

The relationships, are studied between strict suns [1] and sets with semicontinuous below metric projections, and also certain general properties of these classes of sets in linear normed spaces. There are characterized finite-dimensional normed spaces in which the class of strict suns coincides with the class of nonvacuous closed sets having semicontinuous below metric projections. It is proven that a $P$-connected [1] set with semicontinuous below (semicontinuous above) metric projections is $V$-connected [1].