On what I do not understand (and have something to say): Part I
arXiv:math/9906113
Abstract
This is a non-standard paper, containing some problems in set theory 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, concentrating on model theory, will subsequently appear.
References in corpus (10)
- On what I do not understand (and have something to say), model theory
- Non-elementary proper forcing notions
- More on Weak Diamond
- Cardinal invariants of ultrapoducts of Boolean algebras
- Length of Boolean algebras and ultraproducts
- Few non-minimal types and non-structure
- Somewhere trivial automorphisms
- On incomparability and related cardinal functions on ultraproducts of Boolean algebras
- On Arhangelskii's Problem
- A model in which every infinite Boolean algebra has many subalgebras
Cited by in corpus (16)
- A five element basis for the uncountable linear orders
- Are a and d your cup of tea?
- On what I do not understand (and have something to say), model theory
- Jensen's diamond principle and its relatives
- Nonproper Products
- Cardinal Characteristics of Models of Set Theory
- The special Aronszajn tree property at and
- How high can Baumgartner's {\cal I}-ultrafilters lie in the P-hierarchy?
- PCF: The advanced PCF theorems
- Cascades, Order and Ultrafilters
- Sweet & Sour and other flavours of ccc forcing notions
- From Shelah's block-content to Hales-Jewett
- Iterated Ramsey bounds for the Hales-Jewett numbers
- Thin ultrafilters, P-hierarchu and MArtin Axiom
- Nice aleph_1 generated non-P-points, I
- Are and your cup of tea? Revisited