Solovay’s Model

Schindler, Ralf

doi:10.1007/978-3-319-06725-4_8

Ralf Schindler¹⁰

Part of the book series: Universitext ((UTX))

4980 Accesses

Abstract

In this chapter we shall construct a model of ZF in which every set of reals is Lebesgue measurable and has the property of Baire.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 69.99; Price excludes VAT (USA)

Softcover Book: USD 89.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

1.
cf. the remark before Definition 8.6.
2.
It can be shown that every real in \(V[G]\) is generic over \(V[G \upharpoonright \lambda ]\) in the sense of Definition 8.11, but we won’t need that.

Author information

Authors and Affiliations

Institut für Mathematische Logik und Gru, Universität Münster, Münster, Germany
Ralf Schindler

Authors

Ralf Schindler
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ralf Schindler .

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Schindler, R. (2014). Solovay’s Model. In: Set Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-06725-4_8

Download citation

DOI: https://doi.org/10.1007/978-3-319-06725-4_8
Published: 23 May 2014
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06724-7
Online ISBN: 978-3-319-06725-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

Publish with us

Policies and ethics