Authors:
Shimon GartiInstitute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

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Saharon ShelahInstitute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
Department of Mathematics, Rutgers University, New Brunswick NJ 08854, USA

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Abstract

We prove the consistency of a singular cardinal λ with small value of the ultrafilter number , and arbitrarily large value of 2λ.

  • [1] Abraham, U. Magidor, M. 2010 Cardinal arithmetic Handbook of Set Theory. Vols. 1, 2, 3 Springer Dordrecht 11491227 . MR 2768693.

  • [2] Blass, A. 2010 Combinatorial cardinal characteristics of the continuum Handbook of Set Theory. Vols. 1, 2, 3 Springer Dordrecht 395489 . MR 2768685.

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  • [3] Burke, M. R. Magidor, M. 1990 Shelah's pcf theory and its applications Ann. Pure Appl. Logic 50 207254 . MR 1086455 (92f:03053).

  • [4] Garti, S. and Shelah, S., A strong polarized relation, The Journal of Symbolic Logic (accepted).

  • [5] Gitik, M. 2010 Prikry-type forcings Handbook of Set Theory. Vols. 1, 2, 3 Springer Dordrecht 13511447 . MR 2768695.

  • [6] Shelah, S. 1994 Cardinal Arithmetic Oxford Logic Guides 29 The Clarendon Press Oxford University Press New York Oxford Science Publications. MR 1318912 (96e:03001).

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  • [7] Shelah, S. 2011 The character spectrum of β(ℕ) Topology Appl. 158 25352555 .

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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