Null sets and games in Banach spaces

Jakub Duda; Boaz Tsaban

doi:10.1016/j.topol.2008.04.009

Null sets and games in Banach spaces

Jakub Duda
, Boaz Tsaban

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The notion of Aronszajn-null sets generalizes the notion of Lebesgue measure zero in the Euclidean space to infinite dimensional Banach spaces. We present a game-theoretic approach to Aronszajn-null sets, establish its basic properties, and discuss some ensuing open problems.

Original language	English
Pages (from-to)	56-60
Number of pages	5
Journal	Topology and its Applications
Volume	156
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2008.04.009
State	Published - 1 Nov 2008

Bibliographical note

Funding Information:
The second author was partially supported by the Koshland Center for Basic Research. We thank Ori Gurel-Gurevich for presenting our results at the Weizmann Institute’s seminar on Geometric Functional Analysis and Probability, and for making useful comments.

Funding

The second author was partially supported by the Koshland Center for Basic Research. We thank Ori Gurel-Gurevich for presenting our results at the Weizmann Institute’s seminar on Geometric Functional Analysis and Probability, and for making useful comments.

Funders
Koshland Center for Basic Research

Keywords

Aronszajn-null
Selection principles
Topological games

Access to Document

10.1016/j.topol.2008.04.009

Cite this

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Null sets and games in Banach spaces

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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