Add to ORKGThe main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals
We study two topologies $\tau_{KR}$ and $\tau_K$ on the space of measures on a completely regular sp...
AbstractWe give a construction under CH of an infinite Hausdorff compact space having no converging ...
The firs t p a r t of the pape r is devoted to topological analogies of some theorems from re a l a...
We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, ...
On Radon measures on first-countable spaces by Grzegorz P l e b a n e k (Wrocław) Abstract. It is sh...
Let X be a regular topological space. If (Fo)new is a sequence of Radon (i.e., inner regular by comp...
AbstractLet X, T be topological spaces and M(X) the space of all non-negative and finite Borel measu...
AbstractWe deal with the unit ball UR(X) of non-negative Radon measures on a Tychonoff space X. UR i...
We consider the regularity for nonadditive measures. We prove that the non-additive measures which ...
AbstractA σ-finite diffused Borel measure in a topological space is called residual if each nowhere ...
AbstractWe consider Radon measures μ and pairs (κ,λ) of cardinals such that among every κ many posit...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
Given a set A, we shall denote by IAI the cardinality of A and by exp A the family of all subsets of...
AbstractIt is proved that a weak* compact subsetAof scalar measures on aσ-algebra is weakly compact ...
AbstractWe show that if K is Rosenthal compact which can be represented by functions with countably ...
We study two topologies $\tau_{KR}$ and $\tau_K$ on the space of measures on a completely regular sp...
AbstractWe give a construction under CH of an infinite Hausdorff compact space having no converging ...
The firs t p a r t of the pape r is devoted to topological analogies of some theorems from re a l a...
We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, ...
On Radon measures on first-countable spaces by Grzegorz P l e b a n e k (Wrocław) Abstract. It is sh...
Let X be a regular topological space. If (Fo)new is a sequence of Radon (i.e., inner regular by comp...
AbstractLet X, T be topological spaces and M(X) the space of all non-negative and finite Borel measu...
AbstractWe deal with the unit ball UR(X) of non-negative Radon measures on a Tychonoff space X. UR i...
We consider the regularity for nonadditive measures. We prove that the non-additive measures which ...
AbstractA σ-finite diffused Borel measure in a topological space is called residual if each nowhere ...
AbstractWe consider Radon measures μ and pairs (κ,λ) of cardinals such that among every κ many posit...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
Given a set A, we shall denote by IAI the cardinality of A and by exp A the family of all subsets of...
AbstractIt is proved that a weak* compact subsetAof scalar measures on aσ-algebra is weakly compact ...
AbstractWe show that if K is Rosenthal compact which can be represented by functions with countably ...
We study two topologies $\tau_{KR}$ and $\tau_K$ on the space of measures on a completely regular sp...
AbstractWe give a construction under CH of an infinite Hausdorff compact space having no converging ...
The firs t p a r t of the pape r is devoted to topological analogies of some theorems from re a l a...