More constructions for Boolean algebras |
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| Authors: | Saharon Shelah |
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| Affiliation: | (1) Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel (e-mail: shelah@math.huji.ac.il) and Rutgers University, Mathematics Department, New Brunswick, NJ, USA, US |
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| Abstract: | We construct Boolean algebras with prescribed behaviour concerning depth for the free product of two Boolean algebras over a third, in ZFC using pcf; assuming squares we get results on ultraproducts. We also deal with the family of cardinalities and topological density of homomorphic images of Boolean algebras (you can translate it to topology - on the cardinalities of closed subspaces); and lastly we deal with inequalities between cardinal invariants, mainly . Received: 9 September 1998 / Published online: 7 May 2002 |
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