Cardinal characteristics at in a small u (κ) model

Abstract

We provide a model where u(κ)<2κu(κ)<2κ for a supercompact cardinal κ. [10] provides a sketch of how to obtain such a model by modifying the construction in [6]. We provide here a complete proof using a different modification of [6] and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that hold in the countable case as well as some classical forcing notions and their properties.

Metadata

Authors/Creators:

Brooke-Taylor, AD https://orcid.org/0000-0003-3734-0933
Fischer, V
Friedman, SD
Montoya, DC

Copyright, Publisher and Additional Information:

© 2016 Elsevier B.V.. This is an author produced version of a paper published in Annals of Pure and Applied Logic. Uploaded in accordance with the publisher's self-archiving policy.

Keywords:

Generalized cardinal characteristics; Forcing; Supercompact cardinals

Dates:

Accepted: 2 May 2016
Published (online): 24 August 2016
Published: January 2017

Institution:

The University of Leeds

Academic Units:

The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)

Funding Information:

Funder	Grant number
EPSRC (Engineering and Physical Sciences Research Council)	EP/K035703/2

Depositing User:

Symplectic Publications

Date Deposited:

27 Sep 2016 15:11

Last Modified:

03 Mar 2020 16:11

Published Version:

https://doi.org/10.1016/j.apal.2016.08.004

Status:

Published

Publisher:

Elsevier

Identification Number:

https://doi.org/10.1016/j.apal.2016.08.004

CORE (COnnecting REpositories)

CORE (COnnecting REpositories)