|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Is P(ω) a subalgebra?||Journal:||Fundamenta Mathematicae||Volume:||183||Issue:||2||First page:||91||Last page:||108||Issue Date:||1-Jan-2004||Rank:||M22||ISSN:||0016-2736||DOI:||10.4064/fm183-2-1||Abstract:||
We consider the question of whether P(ω) is a subalgebra whenever it is a quotient of a Boolean algebra by a countably generated ideal. This question was raised privately by Murray Bell. We obtain two partial answers under the open coloring axiom. Topologically our first result is that if a zero-dimensional compact space has a zero-set mapping onto βN, then it has a regular closed zero-set mapping onto βN. The second result is that if the compact space has density at most ω1, then it will map onto βN if it contains a zero-set that maps onto βN.
|Keywords:||Open Coloring Axiom | βN||Publisher:||Instytut Matematyczny Polskiej Akademii Nauk|
Show full item record
checked on Dec 8, 2023
checked on Dec 7, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.