Some Consequences Of Martin S Axiom And The Negation Of The Some consequences of Martin s axiom and the negation of the Continuum hypothesis. Juichi Shinoda. Source Nagoya Math. J. Volume 49 (1973), 117125. http://projecteuclid.org/handle/euclid.nmj/1118798877
JSTOR Higher Souslin Trees And The Generalized Continuum Hypothesis. Generalized Martin s axiom and Souslin s hypothesis for higher cardinals. axiom (MA) together with the negation of the Continuum hypothesis (CH) implies http://links.jstor.org/sici?sici=0022-4812(198406)49:2<663:HSTATG>2.0.CO;2-D
A Shorter Proof: Martin's Axiom And The Continuum Hypothesis This is another, shorter, proof for the fact that always holds. Let be a partially ordered set and be a collection of subsets of P. We remember http://nsdl.org/resource/2200/20061003062432262T
Book's Preface The book is finished with Section 9.5 in which it is proved the simultaneous consistency of Martin s axiom and the negation of Continuum hypothesis. http://www.math.wvu.edu/~kcies/Preface.html
Uri Abraham Assuming the Continuum hypothesis there is an inseparable sequence of length $\omega_1$ that contains no Lusin subsequence, while if Martin s axiom and http://www.cs.bgu.ac.il/~abraham/math.html
Springer Online Reference Works The existence of a Luzin space on the real line follows from the Continuum hypothesis. From the negation of the Continuum hypothesis and Martin s axiom (cf. http://eom.springer.de/l/l061110.htm
Topics In Discovering Modern Set Theory. II. Applications of the Continuum hypothesis. Luzin sets and Sierpinski sets. Martin s axiom. Consistency of the Suslin hypothesis. Solovay s Lemma. http://www.math.ohiou.edu/~just/anno2.html
Topology And Forcing V I Malykhin RUSS MATH SURV, 1983, 38 (1), 77 5, Cohen P J, Set theory and the Continuum hypothesis, (W. A. Benjamin, 9, Malykhin V I, The equivalence of Martin s axiom and a purely topological http://www.turpion.org/php/reference.phtml?journal_id=rm&paper_id=3382&volume=38
PlanetMath 2007-06-18 Snapshot: G generic (defined in a shorter proof Martin s axiom and the Continuum hypothesis). generic generically (defined in generic). generic manifold http://202.41.85.103/manuals/planetmath/G.html
\documentclass{article} \usepackage{amssymb} \begin{document} Both \documentclass{article} \usepackage{amssymb} \begin{document} Both the Continuum hypothesis and Martin s axiom allow inductive constructions to continue in http://basilo.kaist.ac.kr/API/?MIval=db_jour_tex&con=110666
JSTOR Martin S Axiom And The Continuum The Continuum hypothesis (CH) says that every infinite set of reals .. MARTIN S axiom and THE Continuum 379 is finite, while if kVA then X n Cfl+k is http://dx.doi.org/10.2307/2275837
Re: Continuum Hypothesis If one DENIES the Continuum hypothesis, and ZF+MA is consistent with not AC Since the proof given uses Martin s axiom and not the stronger CH, http://sci.tech-archive.net/Archive/sci.logic/2007-08/msg00397.html
Seminari De Lògica De Barcelona. Sesions Anteriors Omegalogic and the Continuum hypothesis; 17.03.99 Josep Maria Font The bounded Martin s axiom; 21.10.98 Joan Bagaria (Universitat de Barcelona) http://www.ub.es/slb/Past.html
Sachgebiete Der AMS-Klassifikation: 00-09 ordinal definability, and related notions 03E47 Other notions of settheoretic definability 03E50 Continuum hypothesis and Martin s axiom, http://www.math.fu-berlin.de/litrech/Class/ams-00-09.html
IngentaConnect Residual Measures In Locally Compact Spaces Results on the influence of Martin s axiom and the Continuum hypothesis on the existence of residual and normal measures in locally compact spaces are http://www.ingentaconnect.com/content/els/01668641/2000/00000108/00000003/art001
03Exx 03E50, Continuum hypothesis and Martin s axiom. 03E55, Large cardinals. 03E60, Determinacy principles. 03E65, Other hypotheses and axioms http://www.impan.gov.pl/MSC2000/03Exx.html
Citebase - Lusin Sequences Under CH And Under Martin's Axiom Assuming the Continuum hypothesis there is an inseparable sequence of length omega1 that contains no Lusin subsequence, while if Martin s axiom and the http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/9807178
CMS - Search Journals Todorcevic, Stevo , Remarks on Martin s axiom and the Continuum hypothesis , Canadian Journal of Mathematics, Vol 43, No , 832-851. http://www.journals.cms.math.ca/cgi-bin/vault/search?_query=martin&journal=C
The Continuum Hypothesis Cohen used a technique called forcing to prove the independence in set theory of the axiom of choice and of the generalised Continuum hypothesis. http://www.humboldt.edu/~mef2/Courses/m446s02n2.html
HeiDOK 03E50 Continuum hypothesis and Martin s axiom ( 0 Dok. ) 03E55 Large cardinals ( 0 Dok. ) 03E60 Determinacy principles ( 0 Dok. http://archiv.ub.uni-heidelberg.de/volltextserver/msc_ebene3.php?zahl=03E&anzahl
News | TimesDaily.com | TimesDaily | Florence, Alabama (AL) The Continuum hypothesis and the axiom of choice were among the first Martin, D. (1976). Hilbert s first problem the Continuum hypothesis, in http://www.timesdaily.com/apps/pbcs.dll/section?category=NEWS&template=wiki&text
Sci.math FAQ: The Continuum Hypothesis sci.math FAQ The Continuum hypothesis Various forcing axioms (e.g. Martin s axiom), which are ``maximality principles (in the sense of (2) above), http://www.faqs.org/faqs/sci-math-faq/AC/ContinuumHyp/
Martin's Axiom - Wikipedia, The Free Encyclopedia In the mathematical field of set theory, Martin s axiom, named after Donald A. Martin MA together with the negation of the Continuum hypothesis implies http://en.wikipedia.org/wiki/Martin's_axiom
The Continuum Hypothesis Various forcing axioms (e.g. Martin s axiom), which are ``maximality principles (in the Nancy McGough s *Continuum hypothesis article* or its *mirror*. http://www.cs.uwaterloo.ca/~alopez-o/math-faq/node71.html
Math Forum - Ask Dr. Math THE Continuum hypothesis A basic reference is Godel s What is Cantor s Continuum Various forcing axioms (e.g. Martin s axiom), which are maximality http://mathforum.org/library/drmath/view/51437.html
[FOM] Continuum Hypothesis 1) Do you believe that the Continuum hypothesis is true, or false? . of Martin s Maximum or axiom (*), but the arguments themselves use distinct http://cs.nyu.edu/pipermail/fom/2003-May/006611.html
03E: Set Theory Natural axioms which imply the negation of Continuum hypothesis; How does (Set Theory axiom) V=L prove the Continuum hypothesis? http://www.math.niu.edu/~rusin/known-math/index/03EXX.html
Wiki Martin S Axiom Martin, is a statement which is independent of the usual axioms of ZFC set theory. It is implied by the Continuum hypothesis, so certainly consistent with http://wapedia.mobi/en/Martin's_axiom
Logic Seminar In Semester I AY 2007/2008 Martin s axiom arose from the consistency problem for Souslin s hypothesis and it relates closely with iterated forcing. Souslin s hypothesis (SH) states http://www.comp.nus.edu.sg/~fstephan/logicseminar.html
Piotr Koszmider's Web Page Making a special settheoretic assumption like the Continuum hypothesis or Martin s axiom we construct an example of Mrówka s space (i.e., obtained from an http://www.ime.usp.br/~piotr/cv/ativpas12004e.html
Andy's Math/CS Page Assuming the Continuum hypothesis is false, where does the threshold lie? On the other hand, Martin s axiom, which is independent of CH, http://andysresearch.blogspot.com/
EULER Record Details Subject, Lusin sequence; Martin s axiom; Continuum hypothesis. MSC, 03E05; 03E50; 03E35. Type, Text.Article. Record Source, Zentralblatt MATH http://www.emis.de/projects/EULER/detail?ide=2001abralusisequunde&matchno=2&matc
Path News.jmag.net!news.jmas.co.jp!nf9.iij.ad.jp!nr1.iij.ad.jp The Continuum hypothesis A basic reference is Godel s ``What is Cantor s Continuum Various forcing axioms (e.g. Martin s axiom), which are ``maximality http://linas.org/mirrors/nntp/sci.math/faq.continuum.html
List We show in particular that under Martin s axiom there is compact $X$ with $ X =c$ carrying Abstract Assuming the Continuum hypothesis, we show that http://www.math.uni.wroc.pl/~grzes/abs.htm
Papers.html The second paper introduces a maximally strong forcing axiom Martin s Maximum Counterexamples to the Continuum hypothesis, (joint with M. Magidor), http://www.math.uci.edu/personnel/Foreman/homepage/newpapers.html
Sci.math FAQ: The Continuum Hypothesis The Continuum hypothesis A basic reference is Godel s ``What is Cantor s Continuum Various forcing axioms (eg Martin s axiom), which are ``maximality http://faqs.cs.uu.nl/na-dir/sci-math-faq/continuum.html
Tree Structure Of LoLaLi Concept Hierarchy Updated On 2004624 393 Martin s axiom . . . . 382 Continuum hypothesis g . . . . Not 379 cardinal number . . . Par 216 abstract model theory + . . . . 254 quantifier (5) + g . http://remote.science.uva.nl/~caterina/LoLaLi/soft/ch-data/tree.txt
Sci.math FAQ: The Continuum Hypothesis Subject sci.math FAQ The Continuum hypothesis Various forcing axioms (eg Martin s axiom), which are ``maximality principles (in the sense of (2) http://www.uni-giessen.de/faq/archiv/sci-math-faq.ac.continuumhyp/msg00000.html
Todorcevic, Velickovic: Martin's Axiom And Partitions KT K. Kunen and F. Tall Between Martin s axiom and Souslin s hypothesis. Fund. Math. 102 (1979) 173181. MS D. Martin and R. Solovay Internal Cohen http://www.numdam.org/numdam-bin/fitem?id=CM_1987__63_3_391_0
Sci.math FAQ: The Continuum Hypothesis sci.math FAQ The Continuum hypothesis Various forcing axioms (eg Martin s axiom), which are ``maximality principles (in the sense of (2) above), http://doc.rz.ifi.lmu.de/FAQ/sci-math-faq/AC/ContinuumHyp/index.html
Solution To Continuum Hypothesis - Common Ascent Cohen showed Continuum hypothesis is independent of axioms of ZFC. . Martin s Maximum or axiom (*), but the arguments themselves use distinct http://www.forum.commonascent.org/showthread.php?t=1701
Set Theory (Stanford Encyclopedia Of Philosophy) The Continuum hypothesis; 4. Axiomatic Set Theory; 5. .. developed by D. A. Martin, Robert Solovay and others, brought together methods of, among others, http://plato.stanford.edu/entries/set-theory/
OUP: UK General Catalogue Iterated Boolean Extensions, Martin s axiom and Souslin s hypothesis. 7. BooleanValued Analysis. 8. Intuitionistic Set Theory and Heyting-Algebra-Valued http://www.oup.com/uk/catalogue/?ci=9780198568520
Searching Cantor's Continuum Hypothesis Results 1 to 3 for cantor s Continuum hypothesis (view as list tiles) teaching english, philosophical ethics, philosophy of math, axiom of choice, http://ex.plode.us/search/cantor's continuum hypothesis
Oxford Scholarship Online: Set Theory Keywords lattice, Boolean algebra, Heyting algebra, Booleanvalued model, Continuum hypothesis, ultrailter, axiom of choice, forcing, generic, category http://www.oxfordscholarship.com/oso/public/content/maths/9780198568520/toc.html
Sci.math FAQ: The Continuum Hypothesis - Allanswers.org sci.math FAQ The Continuum hypothesis . Article from category AC on site Various forcing axioms (eg Martin s axiom), which are ``maximality http://allanswers.org/science/sci-math-faq/AC/ContinuumHyp.htm
Continuum Hypothesis: True, False, Or Neither? (See Ellentuck, Gödel s Square Axioms for the Continuum , Mathematische Annalen 1975.) The strongest (Martin s maximum) implies that C = aleph_2. http://consc.net/notes/continuum.html
