Morasses, square and forcing axioms

Annals of Pure and Applied Logic 80 (2):139-163 (1996)
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Abstract

The paper discusses various relationships between the concepts mentioned in the title. In Section 1 Todorcevic functions are shown to arise from both morasses and square. In Section 2 the theme is of supplements to morasses which have some of the flavour of square. Distinctions are drawn between differing concepts. In Section 3 forcing axioms related to the ideas in Section 2 are discussed

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Citations of this work

On the existence of strong chains in ℘(ω1)/fin.Piotr Koszmider - 1998 - Journal of Symbolic Logic 63 (3):1055 - 1062.
On constructions with 2-cardinals.Piotr Koszmider - 2017 - Archive for Mathematical Logic 56 (7-8):849-876.
Forcings constructed along morasses.Bernhard Irrgang - 2011 - Journal of Symbolic Logic 76 (4):1097-1125.

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References found in this work

Remarks on superatomic boolean algebras.James E. Baumgartner & Saharon Shelah - 1987 - Annals of Pure and Applied Logic 33 (C):109-129.
Coding the Universe.A. Beller, R. Jensen & P. Welch - 1982 - Cambridge University Press.
Simplified morasses.Dan Velleman - 1984 - Journal of Symbolic Logic 49 (1):257-271.
Simplified Gap-2 morasses.Dan Velleman - 1987 - Annals of Pure and Applied Logic 34 (2):171-208.

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