RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION

We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is ℵ₂. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2008-01 (33), p.91-130
Main Authors: Brendle, J., Larson, P., Todorčević, S.
Format: Article
Language:English
Subjects:
Axioms
Cardinality
Cofinality
Integers
Mathematical functions
Mathematical logic
Mathematical sequences
Mathematical set theory
Null set
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 130
container_issue 33
container_start_page 91
container_title Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques
container_volume
creator Brendle, J.
Larson, P.
Todorčević, S.
description We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is ℵ₂. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.
format article
fullrecord <record><control><sourceid>jstor</sourceid><recordid>TN_cdi_jstor_primary_44095604</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>44095604</jstor_id><sourcerecordid>44095604</sourcerecordid><originalsourceid>FETCH-LOGICAL-j92t-44f5392369023315a0e92c5567dd3e38f2e0f39dae21204faf3e678aece6e3ac3</originalsourceid><addsrcrecordid>eNotjNFKwzAUQIM4sE4_QcgHWLjNTdIGfAldNgNdU9oMfBuhTcCiKO1e_HsH-nQ45-HckIxxkDkoULckAyGLvERkd-R-XWcAxispM_LSm9rr9nBqdE_1m3XH4Zl2pt9fMx2Mp13vruqtGahud3Rnanfs3GC9de0D2aTwscbHf26J3xtfv-aNO9haN_ms2CXnPAlUDKUChliIAFGxUQhZThNGrBKLkFBNIbKCAU8hYZRlFeIYZcQw4pY8_W3n9fK1nL-X98-w_Jw5ByUkcPwFxaE8bQ</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION</title><source>JSTOR Archival Journals and Primary Sources Collection</source><creator>Brendle, J. ; Larson, P. ; Todorčević, S.</creator><creatorcontrib>Brendle, J. ; Larson, P. ; Todorčević, S.</creatorcontrib><description>We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is ℵ₂. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.</description><identifier>ISSN: 0561-7332</identifier><identifier>EISSN: 2406-0909</identifier><language>eng</language><publisher>Académie serbe des sciences et des arts</publisher><subject>Axioms ; Cardinality ; Cofinality ; Integers ; Mathematical functions ; Mathematical logic ; Mathematical sequences ; Mathematical set theory ; Null set</subject><ispartof>Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2008-01 (33), p.91-130</ispartof><rights>Académie serbe des sciences et des arts, 2008</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/44095604$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/44095604$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,58238,58471</link.rule.ids></links><search><creatorcontrib>Brendle, J.</creatorcontrib><creatorcontrib>Larson, P.</creatorcontrib><creatorcontrib>Todorčević, S.</creatorcontrib><title>RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION</title><title>Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques</title><description>We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is ℵ₂. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.</description><subject>Axioms</subject><subject>Cardinality</subject><subject>Cofinality</subject><subject>Integers</subject><subject>Mathematical functions</subject><subject>Mathematical logic</subject><subject>Mathematical sequences</subject><subject>Mathematical set theory</subject><subject>Null set</subject><issn>0561-7332</issn><issn>2406-0909</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNotjNFKwzAUQIM4sE4_QcgHWLjNTdIGfAldNgNdU9oMfBuhTcCiKO1e_HsH-nQ45-HckIxxkDkoULckAyGLvERkd-R-XWcAxispM_LSm9rr9nBqdE_1m3XH4Zl2pt9fMx2Mp13vruqtGahud3Rnanfs3GC9de0D2aTwscbHf26J3xtfv-aNO9haN_ms2CXnPAlUDKUChliIAFGxUQhZThNGrBKLkFBNIbKCAU8hYZRlFeIYZcQw4pY8_W3n9fK1nL-X98-w_Jw5ByUkcPwFxaE8bQ</recordid><startdate>20080101</startdate><enddate>20080101</enddate><creator>Brendle, J.</creator><creator>Larson, P.</creator><creator>Todorčević, S.</creator><general>Académie serbe des sciences et des arts</general><scope/></search><sort><creationdate>20080101</creationdate><title>RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION</title><author>Brendle, J. ; Larson, P. ; Todorčević, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-j92t-44f5392369023315a0e92c5567dd3e38f2e0f39dae21204faf3e678aece6e3ac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Axioms</topic><topic>Cardinality</topic><topic>Cofinality</topic><topic>Integers</topic><topic>Mathematical functions</topic><topic>Mathematical logic</topic><topic>Mathematical sequences</topic><topic>Mathematical set theory</topic><topic>Null set</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Brendle, J.</creatorcontrib><creatorcontrib>Larson, P.</creatorcontrib><creatorcontrib>Todorčević, S.</creatorcontrib><jtitle>Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brendle, J.</au><au>Larson, P.</au><au>Todorčević, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION</atitle><jtitle>Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques</jtitle><date>2008-01-01</date><risdate>2008</risdate><issue>33</issue><spage>91</spage><epage>130</epage><pages>91-130</pages><issn>0561-7332</issn><eissn>2406-0909</eissn><abstract>We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is ℵ₂. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.</abstract><pub>Académie serbe des sciences et des arts</pub><tpages>40</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0561-7332
ispartof Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2008-01 (33), p.91-130
issn 0561-7332
2406-0909
language eng
recordid cdi_jstor_primary_44095604
source JSTOR Archival Journals and Primary Sources Collection
subjects Axioms
Cardinality
Cofinality
Integers
Mathematical functions
Mathematical logic
Mathematical sequences
Mathematical set theory
Null set
title RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T11%3A01%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=RECTANGULAR%20AXIOMS,%20PERFECT%20SET%20PROPERTIES%20AND%20DECOMPOSITION&rft.jtitle=Bulletin%20de%20l'Acad%C3%A9mie%20serbe%20des%20sciences,%20Classe%20des%20sciences%20math%C3%A9matiques%20et%20naturelles.%20Sciences%20math%C3%A9matiques&rft.au=Brendle,%20J.&rft.date=2008-01-01&rft.issue=33&rft.spage=91&rft.epage=130&rft.pages=91-130&rft.issn=0561-7332&rft.eissn=2406-0909&rft_id=info:doi/&rft_dat=%3Cjstor%3E44095604%3C/jstor%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-j92t-44f5392369023315a0e92c5567dd3e38f2e0f39dae21204faf3e678aece6e3ac3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_jstor_id=44095604&rfr_iscdi=true