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Reading Shelah | Current Project: Section 1 of [Sh:430]Current Project: Section 1 of [Sh:430] (by Todd Eisworth)
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Reading Shelah | Current Project: Section 1 of [Sh:430] | arithmos.wordpress.com Reviews
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The Story of Generators 1 | Reading Shelah
https://arithmos.wordpress.com/2012/10/01/the-story-of-generators-1
The Story of Generators 1. October 1, 2012 at 12:10 Posted in Uncategorized. I’m not sure exactly where things left off, so I’ll just begin with a series of posts on generators for pcf. I will also try to keep the posts short so that I can ease back into the routine of writing them. Let us assume that. Is a progressive set of regular cardinals, and. I will assume we know already some of the basics about the ideal. And I will use these facts without much comment. We will sketch the proof that the ideal.
The Story of Generators – 2 | Reading Shelah
https://arithmos.wordpress.com/2012/10/01/the-story-of-generators-2
The Story of Generators – 2. October 1, 2012 at 14:22 Posted in Uncategorized. Is a progressive sequence of regular cardinals. Is a universal sequence for. Is an exact upper bound for. Then for any ultrafilter. What does this have to do with generators? Just note the following:. Under the assumptions of the theorem, we have. Is a generator for. Is an ultrafilter on. Or it does not. In the first case, the cofinality of. And in the second case the cofinality is exactly. For the other inclusion, suppose.
The Story of Generators – 3 (Existence) | Reading Shelah
https://arithmos.wordpress.com/2012/10/02/the-story-of-generators-3-existence
The Story of Generators – 3 (Existence). October 2, 2012 at 15:32 Posted in Uncategorized. The Exact Upper Bound Argument. Let us assume that. Is as usual, with. If we want to produce a generator for. We saw last time that what we need is a universal sequence for. That in addition possesses an exact upper bound modulo. Instead of re-hashing such arguments, I offer the following direct route from universal sequences to generators. The proof takes advantage of the ideal. Then there is a generator for.
Some Assumptions | Reading Shelah
https://arithmos.wordpress.com/2012/03/28/some-assumptions
March 28, 2012 at 13:33 Posted in Uncategorized. I have been contemplating exactly where to begin the discussion of these matters, and I think that I want to go back to Chapter VIII of The Book, and look at the first section of it because the arguments there keep appearing in later works. In this post, I’m going to write down some assumptions [(a)-(e) of Claim 1.2] that will be used in the next few posts. We assume the following. Is a set of regular cardinals satisfying. Is strictly increasing modulo.
Medium Term Goals | Reading Shelah
https://arithmos.wordpress.com/2012/03/06/medium-term-goals
March 6, 2012 at 11:35 Posted in Uncategorized. I feel the urge to return to the main work of this blog, namely working through the details of the more exotic portions of “The Book” and its continuations. I also happen to have an ideal body of results to attack:. This looks like a nice task for me to tackle in the blog, so that’s probably what I will do. Leave a Comment ». Feed for comments on this post. Leave a Reply Cancel reply. Enter your comment here. Address never made public). Cov vs. pp.
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Are you bored yet?: July 2014
http://eteisworth.blogspot.com/2014_07_01_archive.html
Are you bored yet? Monday, July 28, 2014. Towards simultaneous resolutions Part II. Def REG{ sf {REG}. Suppose now that $A$ is $N$-admissible. Since. N subseteq bigcup { alpha kappa} M alpha ),. We know there is an $ alpha in C$ with $A in M alpha$. The closed unbounded set $C[A]$ from our Technical Lemma is therefore also a member of $M alpha$. It is definable from parameters available in $M alpha$), and since $ alpha = M alpha cap kappa$,. Alpha = M alpha cap kappa in C[A]$. Towards simultaneous resolu...
Are you bored yet?: Club Obedient Sequences II
http://eteisworth.blogspot.com/2014/07/club-obedient-sequences-ii.html
Are you bored yet? Wednesday, July 02, 2014. Club Obedient Sequences II. Def REG{ sf {REG}. Continuing with some preliminary material from Abraham-Magidor:. Suppose that $ lambda in pcf(A)$. A $ {J lambda}$-increasing sequence $ bar{f}= langle f xi: xi lambda rangle$ in $ prod A$ is a universal. Sequence for $ lambda$ if $ bar{f}$ is cofinal in $ prod A/D$ for every ultrafilter $D$ on $A$ satisfying $ lambda = cf( prod A/D)$. We discussed universal sequences on our old blog. At cofinality $ kappa$. If $ ...
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αριθμός - 2ο Γυμνάσιο Π. Φαλήρου - Αρχική Σελίδα
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Reading Shelah | Current Project: Section 1 of [Sh:430]
May 24, 2013 at 13:53 Posted in Uncategorized. For those who may be interested, I’m migrating this blog to. Http:/ eteisworth.blogspot.com/. Because I can use mathjax more easily over there. The Story of Generators – 3 (Existence). October 2, 2012 at 15:32 Posted in Uncategorized. The Exact Upper Bound Argument. Let us assume that. Is as usual, with. If we want to produce a generator for. We saw last time that what we need is a universal sequence for. That in addition possesses an exact upper bound modulo.
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