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On normal precipitous ideals

Moti Gitik
2010 Israel Journal of Mathematics  
Prikry asks if an existence of a precipitous ideal implies necessary existence of a normal precipitous ideal. The aim of the paper is to prove some results in the positive direction.  ...  Thus, it is shown that under some mild assumptions, an existence of a precipitous ideal over ℵ 1 implies an existence of a normal precipitous ideal over ℵ 1 once a Cohen subset is added to ℵ 2 .  ...  They asked if the existence of a precipitous ideal necessary imply the existence of a normal precipitous ideal.  ... 
doi:10.1007/s11856-010-0009-x fatcat:wav46iqykvczbbdsdtzaas7tve

On almost precipitous ideals

Asaf Ferber, Moti Gitik
2010 Archive for Mathematical Logic  
We answer questions concerning an existence of almost precipitous ideals raised in [5] .  ...  In L[µ] every regular cardinal which is less than the measurable carries an almost precipitous non-precipitous ideal.  ...  1 On semi precipitous and almost precipitous ideals Definition 1.1 Let κ be a regular uncountable cardinal, τ a ordinal and I a κ-complete ideal over κ.  ... 
doi:10.1007/s00153-009-0173-z fatcat:oup3u4w2jrco5gsqywwkqwsg74

Some examples of precipitous ideals

Thomas J. Jech, William J. Mitchell
1983 Annals of Pure and Applied Logic  
a precipitous ideal that is not normed, and a normed ideal that is not uniformly normed.  ...  Recall thatJ3= I = c I,LlEAwhere I, is the dual ideal of U,. The ideal I is a normal precipitous ideal on K, by Lemma 1.2(iv) and (v).  ... 
doi:10.1016/0168-0072(83)90029-5 fatcat:qmscelocfrexpkzolzbjyrrvxy

Precipitation Banding in Idealized Baroclinic Waves

Jesse Norris, Geraint Vaughan, David M. Schultz
2014 Monthly Weather Review  
Moist idealized baroclinic-wave simulations show the development of precipitation bands from a zonally uniform initial midlatitude jet.  ...  The surface precipitation remains in a single intense band along and ahead of the cold front.  ...  To address these issues, a three-dimensional primitive equation model is used to simulate precipitation bands within an idealized baroclinic wave.  ... 
doi:10.1175/mwr-d-13-00343.1 fatcat:bfyrlb3donecnll5lwturtltpm

Some pathological examples of precipitous ideals

Moti Gitik
2008 Journal of Symbolic Logic (JSL)  
We construct a model with an indecisive precipitous ideal and a model with a precipitous ideal with a non precipitous normal ideal below it. Such kind of examples were previously given by M.  ...  Also a precipitous ideal without a normal ideal below it is constructed.  ...  Contradiction. of the claim. 2 Precipitous ideal without normal ideal below it.  ... 
doi:10.2178/jsl/1208359056 fatcat:v3tiuyh5hzgz3kle3bkyq2vz4i

PFA and precipitousness of the nonstationary ideal [article]

Boban Velickovic
2015 arXiv   pre-print
We apply Neeman's method of forcing with side conditions to show that PFA does not imply the precipitousness of the nonstationary ideal on ω_1.  ...  Preliminaries We start by recalling the relevant notions concerning precipitous ideals from [5] . Suppose I is a κ-complete ideal on a cardinal κ which contains all singletons.  ...  The ideal I is precipitous if and only if player I does not have a winning strategy in G I . propriate pair (S, T ).  ... 
arXiv:1504.05326v1 fatcat:kr4cqftlhrcrxmgoutchpqe5pe

Negative results on precipitous ideals on omega_1 [article]

Grigor Sargsyan
2021 arXiv   pre-print
The authors of [10] say that Steel showed that in some extender models, κ carries a precipitous ideal if and only if it is measurable.  ...  He informed us that it is not known if large cardinals imply the existence of precipitous ideals on ω 1 . We thank him for asking us this question.  ... 
arXiv:2110.02733v1 fatcat:dxfroukc35cgrjjtznfbhi6xdi

The Precipitation Response to an Idealized Subtropical Continent

Elizabeth A. Maroon, Dargan M. W. Frierson, Sarah M. Kang, Jacob Scheff
2016 Journal of Climate  
These idealized values were 175 likely chosen to cool off ICCMp1's very hot land.  ...  also note the importance of surface saturation on the 109 precipitation of their idealized continent, and show that ocean energy transport, ventilation, 110 and the remote Rossby wave forcing of Rodwell  ... 
doi:10.1175/jcli-d-15-0616.1 fatcat:rom3ijcsxfbodckuu7bth2oxya

Modelling the Dissolution/Precipitation of Ideal Solid Solutions

E. Nourtier-Mazauric, B. Guy, B. Fritz, E. Brosse, D. Garcia, A. Clément
2005 Oil & Gas Science and Technology  
Owing to the kinetic precipitation law (19) for pure minerals and considering the remarks of paragraph 2.3, the kinetic precipitation rate of the ideal solid solution M s obeys the following relation ϑ  ...  Precipitation When the aqueous solution is totally oversaturated with respect to the ideal solid solution M s , i.e. when Ω T s > 1, the least soluble one precipitates, provided that a nucleation threshold  ...  As the aqueous solution gets closer to total saturation with respect to the carbonate solid solution, the precipitation of the latter lessens and consumes less magnesium.  ... 
doi:10.2516/ogst:2005024 fatcat:zg7eawltoveo5aan6372pw5m5i

Stability and Instability Criteria for Idealized Precipitating Hydrodynamics

Gerardo Hernandez-Duenas, Leslie M. Smith, Samuel N. Stechmann
2015 Journal of the Atmospheric Sciences  
A linear stability analysis is presented for fluid dynamics with water vapor and precipitation, where the precipitation falls relative to the fluid at speed V T .  ...  In each case, a saturated precipitating atmosphere is considered, and the sufficient conditions for stability and instability are identified.  ...  The present paper utilizes a set of equations for idealized precipitating fluid dynamics.  ... 
doi:10.1175/jas-d-14-0317.1 fatcat:euayyicjyvccfkkfeyw45k4rey

Nowhere precipitousness of the non-stationary ideal over P_kappa(lambda) [article]

Yo Matsubara, Saharon Shelah
2001 arXiv   pre-print
We prove that if lambda is a strong limit singular cardinal and kappa a regular uncountable cardinal < lambda, then NS_kappa lambda, the non-stationary ideal over P_kappa lambda, is nowhere precipitous  ...  If there is a "proper" λ + -complete normal ideal over P λ + δ then N S ℵ1λ is precipitous. It is not known whether N S κλ can be precipitous for singular λ.  ...  This proves that N S κλ is nowhere precipitous for every strong limit singular λ. End of proof of Theorem 1. §3. On "proper" ideals over P κ λ First we define that we mean by a "proper" ideal.  ... 
arXiv:math/0102045v1 fatcat:rhaqoq6utfae3nb7iubpykr55m

Equivalence of the existence of K-partitions with the existence of the precipitous ideal [article]

Ryszard Frankiewicz, Joanna Jureczko
2020 arXiv   pre-print
In this note we give equivalence of the existence of K-partitions with the existence of the precipitous ideal which is essentially topological.  ...  cardinal, then there exists a generic extension in which κ = ω 1 , and κ carries a precipitous ideal. it seems to be essential to ask whether the existence of the precipitous ideal is equivalent with  ...  Let X be a space and I be an ideal on a cardinal κ. (1) X(I) is a Baire space iff I is precipitous. (2) If I is a precipitous ideal, then X(I) admits K-partition {F α : α < κ}, where F α = {x ∈ X(I): α  ... 
arXiv:2010.10445v1 fatcat:u5wbz44r2zakrbf4sxvmttxoom

The concept of ideal pre-precipitation in supersaturated solid solutions

T. Federighi
1962 Journal de Physique  
be called " ideal pre-precipitation ".  ...  pre-precipitation process seems to follow the ideal pattern.  ...  Ideal pre-precipitation.  ... 
doi:10.1051/jphysrad:019620023010079500 fatcat:nxylm3i3rvhjjobhep7dykmclq

Kinetics of precipitation of non-ideal solid-solutions in a liquid environment

C. Noguera, B. Fritz, A. Clément
2016 Chemical Geology  
To our knowledge, this is the first time, in the fields of both geochemistry and metallic alloys, that these out-of-equilibrium precipitation processes of non-ideal solid-solutions are fully described.  ...  Highlights: • Theoretical and numerical model for out-of-equilibrium precipitation of non-ideal solid solutions in a liquid medium. • For the first time, nucleation, growth and/or redissolution processes  ...  Weakly non-ideal SS: precipitation Scenario #1 708 When the Guggenheim coefficient A 0 < 2, the SS 709 which forms is weakly non-ideal.  ... 
doi:10.1016/j.chemgeo.2016.03.009 fatcat:yexwdmfgdvdn5ar33jslztudyi

How will orographic precipitation respond to surface warming? An idealized thermodynamic perspective

Nicholas Siler, Gerard Roe
2014 Geophysical Research Letters  
Here we use a simple numerical model to evaluate the response of orographic precipitation to surface warming under idealized conditions representative of the strongest orographic storms.  ...  As a result, the distribution of precipitation shifts downwind, causing larger fractional changes in precipitation on the lee slope than on the windward slope.  ...  Under idealized conditions that pertain to many strong midlatitude storms, we consider how changes in the pattern of upslope condensation may alter the amount and distribution of orographic precipitation  ... 
doi:10.1002/2013gl059095 fatcat:ul6agxm5zffrbcxdoypmusnx3u
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