scholarly journals Carr–Nadtochiy’s weak reflection principle for Markov chains on $$\mathbf {Z}^d$$

Author(s):  
Yuri Imamura
2017 ◽  
Vol 82 (2) ◽  
pp. 724-736
Author(s):  
VÍCTOR TORRES-PÉREZ

AbstractWe prove that WRP and saturation of the ideal NSω1 together imply $\left\{ {a \in [\lambda ]^{\omega _1 } :{\text{cof}}\left( {{\text{sup}}\left( a \right)} \right) = \omega _1 } \right\}$, for every cardinal λ with cof(λ) ≥ω2 .


2015 ◽  
Vol 25 (6) ◽  
pp. 3251-3294 ◽  
Author(s):  
Erhan Bayraktar ◽  
Sergey Nadtochiy

2008 ◽  
Vol 08 (01) ◽  
pp. 23-39 ◽  
Author(s):  
JOHN KRUEGER

We prove that the Weak Reflection Principle does not imply that every stationary set reflects to an internally approachable set. We show that several variants of internal approachability, namely, internally unbounded, internally stationary, and internally club, are not provably equivalent.


2019 ◽  
Vol 16 (8) ◽  
pp. 663-664 ◽  
Author(s):  
Jasleen K. Grewal ◽  
Martin Krzywinski ◽  
Naomi Altman
Keyword(s):  

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