The depth of ultraproducts of Boolean algebras |
| |
| Authors: | Saharon Shelah |
| |
| Institution: | (1) Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem, 91904, Israel;(2) Department of Mathematics, The State University of New Jersey, Hill Center -Busch Campus, Rutgers, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA |
| |
| Abstract: | We show that if μ is a compact cardinal then the depth of ultraproducts of less than μ many Boolean algebras is at most μ
plus the ultraproduct of the depths of those Boolean algebras.
Received May 18, 2004; accepted in final form December 9, 2004. |
| |
| Keywords: | 03E75 03G05 06E99 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
