Geodesic
On the Connectedness of the Sets of Limit Points of Certain Transforms of Bounded Sequences(1)
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 175-181

Voir la notice de l'article provenant de la source Cambridge University Press

The transforms discussed here are the quasi-Hausdorff (Theorem 1), the [J, ƒ(x)] (Theorem 2) and the Borel integral means (Theorem 3). We are concerned here with whether or not the limit-points of these transforms of bounded sequences form connected sets. Such a set is one which cannot be decomposed into the union of two disjoint nonempty open sets. 
Leviatan, Dany; Lorch, Lee. On the Connectedness of the Sets of Limit Points of Certain Transforms of Bounded Sequences(1). Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 175-181. doi: 10.4153/CMB-1971-032-0
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