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THE PROPER FORCING AXIOM,PRIKRY FORCING,AND THE SINGULAR CARDINALS HYPOTHESIS
FORCING AXIOM PRIKRY FORCING SINGULAR CARDINALS
2015/8/17
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form of simultaneous refl...
The notes which follow reflect the content of a two day tutorial which took place at the Fields Institute on 5/29 and 5/30 in 2009. Most of the content has existed in the literature for some time (pri...
FORCING AXIOMS AND THE CONTINUUM HYPOTHESIS,PART II:TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
FORCING AXIOMS CONTINUUM HYPOTHESIS TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
2015/8/17
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of Shelah.
One way to formulate the Baire Category Theorem is that no compact space can be covered by countably many nowhere dense sets. Soon after Cohen’s discovery of forcing, it was realized that it was natur...
Testing the null hypothesis of no cointegration against seasonal fractional cointegration
Seasonal fractional cointegration Long memory Seasonality
2010/9/10
In this article we propose a procedure for testing the null hypothesis of no cointegration against the alternative of seasonal fractional cointegration. It is a twostep procedure based on the univaria...