Geodesic
Properties of Monotone Connected Sets
Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 781-792

Voir la notice de l'article provenant de la source Math-Net.Ru

Properties of Menger-monotone sets are studied. It is proved that all boundedly weakly compact Menger-connected $(\omega\rhd n)$-approximatively compact sets are suns. The existence of a continuous selection of the Chebyshev near-center map (relative to $V$) is proved for the case in which $V\subset C(Q)$ is a $B^2$-infinitely connected set in the space $C(Q)$.
Keywords: Menger-monotone set, Menger-connected set, sun. 
@article{MZM_2021_109_5_a9,
     author = {I. G. Tsar'kov},
     title = {Properties of {Monotone} {Connected} {Sets}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {781--792},
     publisher = {mathdoc},
     volume = {109},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a9/}
}
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I. G. Tsar'kov. Properties of Monotone Connected Sets. Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 781-792. http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a9/