Some notes concerning the homogeneity of Boolean algebras and Boolean spaces
| dc.creator | Geschke, Stefan | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2002-11-26 | |
| dc.date.accessioned | 2026-07-07T04:53:17Z | |
| dc.date.available | 2026-07-07T04:53:17Z | |
| dc.description | We consider homogeneity properties of Boolean algebras that have nonprincipal ultrafilters which are countably generated.It is shown that a Boolean algebra B is homogeneous if it is the union of countably generated nonprincipal ultrafilters and has a dense subset D such that for every a in D the relative algebra B restriction a:= {b in B:b <= a} is isomorphic to B. In particular, the free product of countably many copies of an atomic Boolean algebra is homogeneous. Moreover, a Boolean algebra B is homogeneous if it satisfies the following conditions: (i) B has a countably generated ultrafilter, (ii) B is not c.c.c., and (iii) for every a in B setminus {0} there are finitely many automorphisms h_1, ...,h_n of B such that 1=h_1(a) cup ... cup h_n(a). | |
| dc.identifier | https://arxiv.org/abs/math/0211399 | |
| dc.identifier | http://arxiv.org/abs/math/0211399 | |
| dc.identifier | Topology Appl. 133 No. 3 (2003) 241--253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65786 | |
| dc.subject | Logic | |
| dc.title | Some notes concerning the homogeneity of Boolean algebras and Boolean spaces | |
| dc.type | text |