Two consistency results on set mappings

Péter Komjáth; Saharon Shelah

doi:10.2307/2586540

Two consistency results on set mappings

Péter Komjáth^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

It is consistent that there is a set mapping from the four-tuples of ω_n into the finite subsets with no free subsets of size t_n, for some natural number t_n. For any n < ω it is consistent that there is a set mapping from the pairs of ω_n, into the finite subsets with no infinite free sets. For any n < ω it is consistent that there is a set mapping from the pairs of ω_n, into ω_n with no uncountable free sets.

Original language	English
Pages (from-to)	333-338
Number of pages	6
Journal	Journal of Symbolic Logic
Volume	65
Issue number	1
DOIs	https://doi.org/10.2307/2586540
State	Published - Mar 2000

Access to Document

10.2307/2586540

Cite this

@article{8f4da0eef18f401c955814f2dcba0058,

title = "Two consistency results on set mappings",

abstract = "It is consistent that there is a set mapping from the four-tuples of ωn into the finite subsets with no free subsets of size tn, for some natural number tn. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into the finite subsets with no infinite free sets. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into ωn with no uncountable free sets.",

author = "P{\'e}ter Komj{\'a}th and Saharon Shelah",

year = "2000",

month = mar,

doi = "10.2307/2586540",

language = "אנגלית",

volume = "65",

pages = "333--338",

journal = "Journal of Symbolic Logic",

issn = "0022-4812",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Two consistency results on set mappings

AU - Komjáth, Péter

AU - Shelah, Saharon

PY - 2000/3

Y1 - 2000/3

N2 - It is consistent that there is a set mapping from the four-tuples of ωn into the finite subsets with no free subsets of size tn, for some natural number tn. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into the finite subsets with no infinite free sets. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into ωn with no uncountable free sets.

AB - It is consistent that there is a set mapping from the four-tuples of ωn into the finite subsets with no free subsets of size tn, for some natural number tn. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into the finite subsets with no infinite free sets. For any n < ω it is consistent that there is a set mapping from the pairs of ωn, into ωn with no uncountable free sets.

UR - http://www.scopus.com/inward/record.url?scp=0040794061&partnerID=8YFLogxK

U2 - 10.2307/2586540

DO - 10.2307/2586540

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0040794061

SN - 0022-4812

VL - 65

SP - 333

EP - 338

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 1

ER -

Two consistency results on set mappings

Abstract

Access to Document

Other files and links

Fingerprint

Cite this