# Saturated Filters at Successors of Singulars, Weak Reflection and Yet Another Weak Club Principle

@article{Damonja1996SaturatedFA, title={Saturated Filters at Successors of Singulars, Weak Reflection and Yet Another Weak Club Principle}, author={Mirna D{\vz}amonja and Saharon Shelah}, journal={Ann. Pure Appl. Log.}, year={1996}, volume={79}, pages={289-316} }

## 26 Citations

### Weak reflection at the successor of singular

- Mathematics
- 2000

The notion of stationary reflection is one of the most important notions of combinatorial set theory. We investigate weak reflection, which is, as the name suggests, a weak version of stationary…

### A relative of the approachability ideal, diamond and non-saturation

- MathematicsThe Journal of Symbolic Logic
- 2010

It is relatively consistent with the existence of a supercompact cardinal that fails, while I[S; λ] is fat for every stationary S ⊆ λ+ that reflects stationarily often.

### Weak Reflection at the Successor of a Singular Cardinal

- Mathematics
- 2003

The notion of stationary reflection is one of the most important notions of combinatorial set theory. Weak reflection, which is, as its name suggests, a weak version of stationary reflection, is…

### Canonical structure in the universe of set theory: part two

- MathematicsAnn. Pure Appl. Log.
- 2006

### A consistency result on weak reflection

- Mathematics
- 1995

In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say theta strongly non-reflects at lambda iff there is a function F: theta ---> lambda such that…

### L O ] 1 5 A pr 1 99 5 A consistency result on weak reflection

- Mathematics, Philosophy
- 2008

In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say θ strongly non-reflects at λ iff there is a function F : θ −→ λ such that for all α < θ with…

### A note on some versions of club

- Mathematics
- 1997

This note gives two results on guessing unbounded subsets of lambda^+. The first is a positive result and applies to the situation of lambda regular, while the second is a negative consistency result…

### On squares, outside guessing of clubs and I_{

- Mathematics
- 1995

Suppose that lambda = mu^+. We consider two aspects of the square property on subsets of lambda. First, we have results which show e.g. that for aleph_0 <= kappa =cf (kappa)< mu, the equality…

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In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say theta strongly non-reflects at lambda iff there is a function F: theta ---> lambda such that…

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