1521-3870/asset/2256_left.gif?v=1&s=becebab9c3e85769a14b145f17b8e337848bc48b)
1521-3870/asset/2256_right.gif?v=1&s=6d251fa351b8e0943ed3dc42b2beb251d4cbfa3e)
Original Paper
A consistency result on cardinal sequences of scattered Boolean spaces
Article first published online: 28 SEP 2005
DOI: 10.1002/malq.200410050
Copyright © 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1521-3870/asset/cover.gif?v=1&s=3df32dbed8d9153ac6eafe1eaa786854b9b48345 "Mathematical Logic Quarterly")
Additional Information
How to Cite
Martínez, J. C. (2005), A consistency result on cardinal sequences of scattered Boolean spaces. Mathematical Logic Quarterly, 51: 586–590. doi: 10.1002/malq.200410050
Publication History
- Issue published online: 28 SEP 2005
- Article first published online: 28 SEP 2005
- Manuscript Accepted: 15 JUL 2005
- Manuscript Revised: 14 JUL 2005
- Manuscript Received: 15 DEC 2004
- Abstract
- References
- Cited By
Keywords:
- Scattered Boolean space;
- cardinal sequence;
- forcing
Abstract
We prove that if GCH holds and τ = 〈κα : α < η 〉 is a sequence of infinite cardinals such that κα ≥ |η | for each α < η, then there is a cardinal-preserving partial order that forces the existence of a scattered Boolean space whose cardinal sequence is τ. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)