Set Theory: The Hajnal Conference, October 15-17, 1999, DIMACS CenterSimon Thomas American Mathematical Soc., 1 січ. 2002 р. - 160 стор. This volume presents the proceedings from the Mid-Atlantic Mathematical Logic Seminar (MAMLS) conference held in honor of Andras Hajnal at the DIMACS Center, Rutgers University (New Brunswick, NJ). Articles include both surveys and high-level research papers written by internationally recognized experts in the field of set theory. Many of the current active areas of set theory are represented in this volume. It includes research papers on combinatorial set theory, set theoretictopology, descriptive set theory, and set theoretic algebra. There are valuable surveys on combinatorial set theory, fragments of the proper forcing axiom, and the reflection properties of stationary sets. The book also includes an exposition of the ergodic theory of lattices in higher rank semisimpleLie groups-essential reading for anyone who wishes to understand much of the recent work on countable Borel equivalence relations. |
Зміст
Hajnals contributions to combinatorial set theory and the partition calculus | 25 |
Multicolored graphs on countable ordinals of finite exponent | 31 |
On Dspaces and discrete families of sets | 45 |
Analytic Hausdorff gaps | 65 |
Stationary sets Changs conjecture and partition theory | 73 |
Subgraph chromatic number | 79 |
65 | 90 |
Maximal rigidity | 107 |
Some applications of superrigidity to Borel equivalence relations | 129 |
Localized reflection and fragments of | 135 |
The basis problem for CCC posets | 149 |
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Set Theory: The Hajnal Conference, October 15-17, 1999, DIMACS Center Simon Thomas Обмежений попередній перегляд - 2002 |
Загальні терміни та фрази
adds a Cohen analytic Hausdorff gap analytic P-ideal assume assumption atoms automorphism Boolean Algebra Borel equivalence relations Borel subset ccc poset Chang's Conjecture chromatic number clause cocycle cofinality Cohen real complete subgraph consistent contradiction Corollary countable Borel equivalence D-space defined DEFINITION dense discrete disjoint Editors elementary substructure elements ergodic exists finite forcing axioms graph Hajnal hence holds ideal implies induction infinite J₁ Let f Let G Math Mathematics measurable cardinal mutually stationary sequence N₁ nontrivial order type ordinal orientation pair PFA(w₁ poset probability measure proof of Theorem prove quotient reflection regular cardinal result Sacks property Saharon Shelah satisfies set theory simple Lie group singular cardinal Souslin standard Borel space stationary sets stationary subset subspace superatomic superatomic Boolean Algebra Suppose Todorcevic topology ultrafilter unbounded uncountable w₁ w₂ Xa Uaa