26 citations · 39 across the 4 of their papers we have counts for
4 papers
Hyperspaces of max-plus convex subsets of powers of the real line
Lidia Bazylevych, Dušan Repovš, Mykhailo Zarichnyi
The notion of max-plus convex subset of Euclidean space can be naturally extended to other linear spaces. The aim of this paper is to describe the topology of hyperspaces of max-pl…
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…
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…
On convex bodies of constant width
L. E. Bazylevych, M. M. Zarichnyi
We present an alternative proof of the following fact: the hyperspace of compact closed subsets of constant width in is a contractible Hilbert cube manifold. The proo…