Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Keeping additivity of the null ideal small

Author: Jindrich Zapletal
Journal: Proc. Amer. Math. Soc. 125 (1997), 2443-2451
MSC (1991): Primary 03E35, 03E50
MathSciNet review: 1389541
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We shall show that various statements are consistent with additivity of the null ideal equal to $\aleph _{1};$ for example, ``all branchless trees of size $\aleph _{1}$ are special'', (S) conjecture and ``there are only five cofinal types of directed posets of size $\aleph _{1}$''.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 03E35, 03E50

Retrieve articles in all journals with MSC (1991): 03E35, 03E50

Additional Information

Jindrich Zapletal
Affiliation: M. S. R. I., 1000 Centennial Drive, Berkeley, California 94720
Address at time of publication: Mailcode 253-37, California Institute of Technology, Pasadena, California 91125

PII: S 0002-9939(97)03870-7
Received by editor(s): November 8, 1995
Received by editor(s) in revised form: February 26, 1996
Additional Notes: Research at MSRI partially supported by NSF grant # DMS 9022140. The author wishes to thank Itay Neeman for asking the original inspiring question.
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1997 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia