On what I do not understand (and have something to say), model theory
arXiv:math/9910158
Abstract
This is a non-standard paper, containing some problems, mainly in model theory, which I have, in various degrees, been interested in. Sometimes with a discussion on what I have to say; sometimes, of what makes them interesting to me, sometimes the problems are presented with a discussion of how I have tried to solve them, and sometimes with failed tries, anecdote and opinion. So the discussion is quite personal, in other words, egocentric and somewhat accidental. As we discuss many problems, history and side references are erratic, usually kept at a minimum ("See..." means: see the references there and possibly the paper itself). The base were lectures in Rutgers Fall '97 and reflect my knowledge then. The other half, math.LO/9906113, concentrating on set theory, is in print, but the two halves are independent. We thank A. Blass, G. Cherlin and R. Grossberg for some corrections.
References in corpus (4)
Cited by in corpus (15)
- On what I do not understand (and have something to say): Part I
- Building independence relations in abstract elementary classes
- Shelah's eventual categoricity conjecture in universal classes: part I
- -Abstract Elementary Classes and other generalizations
- Downward categoricity from a successor inside a good frame
- Maximal failures of sequence locality in a.e.c
- A Characterization of Uniqueness of Limit Models in Categorical Abstract Elementary Classes
- Cardinal Characteristics of Models of Set Theory
- Shelah's Categoricity Conjecture from a successor for Tame Abstract Elementary Classes
- Club guessing and the universal models
- Sweet & Sour and other flavours of ccc forcing notions
- Model Theory of the Inaccessibility Scheme
- Iterated Ramsey bounds for the Hales-Jewett numbers
- From Shelah's block-content to Hales-Jewett
- Partition theorems for expanded trees