Transactions of the American Mathematical Society

Author(s): Justin Tatch Moore; Michael Hrusák; Mirna Dzamonja
Journal: Trans. Amer. Math. Soc. 356 (2004), 2281-2306.
MSC (2000): Primary 03E17, 03E65
Posted: October 8, 2003
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Abstract: We will present a collection of guessing principles which have a similar relationship to $\diamondsuit$ as cardinal invariants of the continuum have to

. The purpose is to provide a means for systematically analyzing $\diamondsuit$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of

and $\diamondsuit$ in models such as those of Laver, Miller, and Sacks.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 03E17, 03E65

Justin Tatch Moore
Affiliation: Department of Mathematics, Boise State University, Boise, Idaho 83725
Email: justin@math.boisestate.edu

Michael Hrusák
Affiliation: Institute of Mathematics, University Nacional Autonoma de Mexico, Apartado Postal 27-3, 58089 Morelia, Mexico
Email: michael@matmor.unam.mx

Mirna Dzamonja
Affiliation: School of Mathematics, University of East Anglia, Norwich, England NR4 7TJ
Email: m.dzamonja@uea.ac.uk

DOI: 10.1090/S0002-9947-03-03446-9
PII: S 0002-9947(03)03446-9
Keywords: Diamond, weak diamond, cardinal invariant, guessing principle
Received by editor(s): September 12, 2002
Posted: October 8, 2003
Additional Notes: The first and third authors received support from EPSRC grant GR/M71121 for the research of this paper. The research of the second author was supported in part by the Netherlands Organization for Scientific Research (NWO) -- Grant 613.007.039, and in part by the Grant Agency of the Czech Republic -- Grant GACR 201/00/1466.
Copyright of article: Copyright 2003, American Mathematical Society

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