Geodesic
Strict sums and semicontinuity below metric projections in linear normed spaces
Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 563-572 
N. V. Nevesenko. Strict sums and semicontinuity below metric projections in linear normed spaces. Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 563-572. http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a7/
@article{MZM_1978_23_4_a7,
     author = {N. V. Nevesenko},
     title = {Strict sums and semicontinuity below metric projections in linear normed spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {563--572},
     year = {1978},
     volume = {23},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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].