Add to ORKG2000 Mathematics Subject Classification: 54H05, 03E15, 46B26We answer positively a question raised by S. Argyros: Given any coanalytic, nonalytic subset Σ′ of the irrationals, we construct, in Mercourakis space c1(Σ′), an adequate compact which is Gul’ko and not Talagrand. Further, given any Borel, non Fσ subset Σ′ of the irrationals, we construct, in c1(Σ′), an adequate compact which is Talagrand and not Eberlein.Supported by grants AV CR 101-90-03, and GA CR 201-01-119
AbstractIt is shown that a nonmetrizable ANR-space of weight τ>ω, admitting a group structure, is (t...
AbstractWe show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
AbstractWe show that the Banach spaces C(K) with K either an adequate Talagrand compact or a quasi a...
For any cardinal number $\kappa$ and an index set $\Gamma$, $\Sigma_\kappa$-product of real lines co...
AbstractWe shall show that several rather familiar countable topological spaces are embedded as P-se...
AbstractWe prove the following result: If in a compact space X there is a λ-branching family of clos...
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with ...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractIt is shown that every Valdivia compact group is homeomorphic to a product of metrizable com...
AbstractWe show that if X is countably compact but not compact then one can find a compact space K s...
[EN] We show, in particular, that if nw(Nt) ≤ k for any t ϵ T and C is a dense subspace of the pro...
A ≤W B. (This refers to Wadge reducible.) Answer: The first question was answered by Hjorth [83] who...
AbstractIn this paper we establish that any well-pruned ω1-tree, T, admits an ω1-compact type I mani...
AbstractFor the classical Arzela–Ascoli theorem and its typical modern formulation, we have improved...
AbstractIt is shown that a nonmetrizable ANR-space of weight τ>ω, admitting a group structure, is (t...
AbstractWe show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
AbstractWe show that the Banach spaces C(K) with K either an adequate Talagrand compact or a quasi a...
For any cardinal number $\kappa$ and an index set $\Gamma$, $\Sigma_\kappa$-product of real lines co...
AbstractWe shall show that several rather familiar countable topological spaces are embedded as P-se...
AbstractWe prove the following result: If in a compact space X there is a λ-branching family of clos...
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with ...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractIt is shown that every Valdivia compact group is homeomorphic to a product of metrizable com...
AbstractWe show that if X is countably compact but not compact then one can find a compact space K s...
[EN] We show, in particular, that if nw(Nt) ≤ k for any t ϵ T and C is a dense subspace of the pro...
A ≤W B. (This refers to Wadge reducible.) Answer: The first question was answered by Hjorth [83] who...
AbstractIn this paper we establish that any well-pruned ω1-tree, T, admits an ω1-compact type I mani...
AbstractFor the classical Arzela–Ascoli theorem and its typical modern formulation, we have improved...
AbstractIt is shown that a nonmetrizable ANR-space of weight τ>ω, admitting a group structure, is (t...
AbstractWe show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...