"1"^^ . "On products with the unit interval" . "RIV/00216208:11320/08:00100009" . "P(GA201/06/0018), Z(MSM0021620839)" . "384654" . . "NL - Nizozemsko" . . "000256405000006" . "We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact space and for the half-ball of a nonseparable Hilbert space equipped with the weak topology. We also show examples of convex compact spaces for which it is not the case." . "11320" . "Kalenda, Ond\u0159ej" . "On products with the unit interval"@en . "We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact space and for the half-ball of a nonseparable Hilbert space equipped with the weak topology. We also show examples of convex compact spaces for which it is not the case."@en . . . "products; interval"@en . "RIV/00216208:11320/08:00100009!RIV09-MSM-11320___" . . . "10" . . . . "Zab\u00FDv\u00E1me se ot\u00E1zkou, kter\u00E9 kompaktn\u00ED konvexn\u00ED mno\u017Einy jsou homeomorfn\u00ED sv\u00E9mu sou\u010Dinu s jednotkov\u00FDm intervalem. Dokazujeme, \u017Ee to plat\u00ED nap\u0159\u00EDklad pro prostor pravd\u011Bpodobnost\u00ED na nekone\u010Dn\u00E9m \u0159\u00EDdce rozlo\u017Een\u00E9m kompaktn\u00EDm prostoru a pro polokouli neseparabiln\u00EDho Hilbertova prostoru se slabou topologi\u00ED. D\u00E1le uv\u00E1d\u00EDme p\u0159\u00EDklady kompatn\u00EDch konvexn\u00EDch mno\u017Ein, pro n\u011B\u017E to neplat\u00ED."@cs . "O sou\u010Dinech s jednotkov\u00FDm intervalem"@cs . . "[672A35EE022B]" . "Topology and its Applications" . . "0166-8641" . "On products with the unit interval" . . . . "On products with the unit interval"@en . . "155" . "O sou\u010Dinech s jednotkov\u00FDm intervalem"@cs . "1"^^ . . "7"^^ .