121 citations
- Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUA3 papers
- National Academy of Sciences of UkraineUA2 papers
- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA2 papers
- Institute of MathematicsPL1 paper
- University of BayreuthDE1 paper
- University of FloridaUS1 paper
- University of LjubljanaSI1 paper
- University of RzeszówPL1 paper
- University of SaskatchewanCA1 paper
Showing 2008 · math.GNShow all
3 papers · 2 filters
math.GN2008
Hartman-Mycielski functor of non-metrizable compacta
Taras Radul, Dušan Repovš
We investigate some topological properties of a normal functor introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction…
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…