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math.GN2008★ 26 cited
Spaces of idempotent measures of compact metric spaces
Lidia Bazylevych, Dušan Repovš, Michael Zarichnyi
We investigate certain geometric properties of the spaces of idempotent measures. In particular, we prove that the space of idempotent measures on an infinite compact metric space…
math.GN2008★ 10 cited
Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
Lidia Bazylevych, Dušan Repovš, Michael Zarichnyi
Our main result states that the hyperspace of convex compact subsets of a compact convex subset in a locally convex space is an absolute retract if and only if is an absolu…