Displaying similar documents to “Radon spaces which are not σ -fragmentable”

Norm fragmented weak* compact sets.

J. E. Jayne, I. Namioka, C. A. Rogers (1990)

Collectanea Mathematica

Similarity:

A Banach space which is a Cech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.

Rigid P-spaces

Kenneth Kunen (1989)

Fundamenta Mathematicae

Similarity:

Radon Measures on Banach Spaces with their Weak Topologies

Jayne, J., Rogers, C. (1995)

Serdica Mathematical Journal

Similarity:

The 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.

The JNR Property and the Borel Structure of a Banach Space

Oncina, L. (2000)

Serdica Mathematical Journal

Similarity:

Research partially supported by a grant of Caja de Ahorros del Mediterraneo. In this paper we study the property of having a countable cover by sets of small local diameter (SLD for short). We show that in the context of Banach spaces (JNR property) it implies that the Banach space is Cech-analytic. We also prove that to have the JNR property, to be σ- fragmentable and to have the same Borel sets for the weak and the norm topologies, they all are topological invariants of...

Kadec norms and Borel sets in a Banach space

M. Raja (1999)

Studia Mathematica

Similarity:

We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.

Descriptive Sets and the Topology of Nonseparable Banach Spaces

Hansell, R. (2001)

Serdica Mathematical Journal

Similarity:

This paper was extensively circulated in manuscript form beginning in the Summer of 1989. It is being published here for the first time in its original form except for minor corrections, updated references and some concluding comments.

Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem

Costas Poulios (2014)

Studia Mathematica

Similarity:

We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's ℓ₁-theorem to spaces of the type ℓ₁(κ) for κ an uncountable cardinal.

A Corson compact L-space from a Suslin tree

Peter Nyikos (2015)

Colloquium Mathematicae

Similarity:

The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.