Iterating along a Prikry sequence

Spencer Unger

Fundamenta Mathematicae (2016)

  • Volume: 232, Issue: 2, page 151-165
  • ISSN: 0016-2736

Abstract

top
We introduce a new method which combines Prikry forcing with an iteration between the Prikry points. Using our method we prove from large cardinals that it is consistent that the tree property holds at ℵₙ for n ≥ 2, ω is strong limit and 2 ω = ω + 2 .

How to cite

top

Spencer Unger. "Iterating along a Prikry sequence." Fundamenta Mathematicae 232.2 (2016): 151-165. <http://eudml.org/doc/283365>.

@article{SpencerUnger2016,
abstract = {We introduce a new method which combines Prikry forcing with an iteration between the Prikry points. Using our method we prove from large cardinals that it is consistent that the tree property holds at ℵₙ for n ≥ 2, $ℵ_\{ω\}$ is strong limit and $2^\{ℵ_\{ω\}\} = ℵ_\{ω+2\}$.},
author = {Spencer Unger},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {151-165},
title = {Iterating along a Prikry sequence},
url = {http://eudml.org/doc/283365},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Spencer Unger
TI - Iterating along a Prikry sequence
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 2
SP - 151
EP - 165
AB - We introduce a new method which combines Prikry forcing with an iteration between the Prikry points. Using our method we prove from large cardinals that it is consistent that the tree property holds at ℵₙ for n ≥ 2, $ℵ_{ω}$ is strong limit and $2^{ℵ_{ω}} = ℵ_{ω+2}$.
LA - eng
UR - http://eudml.org/doc/283365
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.