Set mappings on 4-tuples

Shahram Mohsenipour; Saharon Shelah

doi:10.1215/00294527-2018-0002

Set mappings on 4-tuples

Shahram Mohsenipour, Saharon Shelah

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

In this article, we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover, we prove a ZFC result for set mappings on 4-tuples. Also, as another application of our forcing construction, we give a consistency result for set mappings on triples.

Original language	English
Pages (from-to)	405-416
Number of pages	12
Journal	Notre Dame Journal of Formal Logic
Volume	59
Issue number	3
DOIs	https://doi.org/10.1215/00294527-2018-0002
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018 by University of Notre Dame.

Keywords

Combinatorial set theory
Set mappings

Access to Document

10.1215/00294527-2018-0002

Cite this

@article{37733c448eff45c2bdd8dafc3ed5c843,

title = "Set mappings on 4-tuples",

abstract = "In this article, we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover, we prove a ZFC result for set mappings on 4-tuples. Also, as another application of our forcing construction, we give a consistency result for set mappings on triples.",

keywords = "Combinatorial set theory, Set mappings",

author = "Shahram Mohsenipour and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} 2018 by University of Notre Dame.",

year = "2018",

doi = "10.1215/00294527-2018-0002",

language = "אנגלית",

volume = "59",

pages = "405--416",

journal = "Notre Dame Journal of Formal Logic",

issn = "0029-4527",

publisher = "Duke University Press",

number = "3",

}

TY - JOUR

T1 - Set mappings on 4-tuples

AU - Mohsenipour, Shahram

AU - Shelah, Saharon

PY - 2018

Y1 - 2018

N2 - In this article, we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover, we prove a ZFC result for set mappings on 4-tuples. Also, as another application of our forcing construction, we give a consistency result for set mappings on triples.

AB - In this article, we study set mappings on 4-tuples. We continue a previous work of Komjath and Shelah by getting new finite bounds on the size of free sets in a generic extension. This is obtained by an entirely different forcing construction. Moreover, we prove a ZFC result for set mappings on 4-tuples. Also, as another application of our forcing construction, we give a consistency result for set mappings on triples.

KW - Combinatorial set theory

KW - Set mappings

UR - http://www.scopus.com/inward/record.url?scp=85082347076&partnerID=8YFLogxK

U2 - 10.1215/00294527-2018-0002

DO - 10.1215/00294527-2018-0002

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

AN - SCOPUS:85082347076

SN - 0029-4527

VL - 59

SP - 405

EP - 416

JO - Notre Dame Journal of Formal Logic

JF - Notre Dame Journal of Formal Logic

IS - 3

ER -

Set mappings on 4-tuples

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this