Set theory and the analyst
File(s)SetTheoryAndTheAnalyst.pdf (769.79 KB)
Published version
Author(s)
Bingham, NH
Ostaszewski, AJ
Type
Journal Article
Abstract
This survey is motivated by specific questions arising in the
similarities and contrasts between (Baire) category and (L
ebesgue) measure
– category-measure duality and non-duality, as it were. The
bulk of the text
is devoted to a summary, intended for the working analyst, of
the extensive
background in set theory and logic needed to discuss such mat
ters: to quote
from the Preface of Kelley [Kel]: ”what every young analyst s
hould know”.
similarities and contrasts between (Baire) category and (L
ebesgue) measure
– category-measure duality and non-duality, as it were. The
bulk of the text
is devoted to a summary, intended for the working analyst, of
the extensive
background in set theory and logic needed to discuss such mat
ters: to quote
from the Preface of Kelley [Kel]: ”what every young analyst s
hould know”.
Date Issued
2019-03-01
Date Acceptance
2018-07-12
Citation
European Journal of Mathematics, 2019, 5 (1), pp.2-48
ISSN
2199-675X
Publisher
Springer Verlag
Start Page
2
End Page
48
Journal / Book Title
European Journal of Mathematics
Volume
5
Issue
1
Copyright Statement
© The Author(s) 2018
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Subjects
Science & Technology
Physical Sciences
Mathematics
Axiom of choice
Dependent choice
Model theory
Constructible hierarchy
Ultraproducts
Indiscernibles
Forcing
Martin's axiom
Analytical hierarchy
Determinacy and large cardinals
Structure of the real line
Category and measure
INDEPENDENCE
ADDITIVITY
STEINHAUS
LEBESGUE
BAIRE
Publication Status
Published
Date Publish Online
2018-10-12