Re: Atomless Boolean Algebra

From: K. P. Hart (k.p.hart_at_its.tudelft.nl)
Date: 07/27/04 

Date: Tue, 27 Jul 2004 09:58:54 +0200

William Elliot wrote:

>Atomless Boolean Algebra
>
>Take the boolean algebra that is the quotient of the subsets of N (or
>any other set) mod the finite subsets. So two sets are defined to be
>equivalent if their symmetric difference is finite.
>
>
>Some questions arise for which I request your suggestions.
>Is this Boolean algebra incomplete?
>Is there an example showing its incompleteness?
>Is there a way to complete it?
>
>
>
This is probably the most widely studied Boolean algebra od all.
Good places to read up on it are
J. van Mill, An introduction to $\beta\omega$, in Handbook of Set
Theoretic Topology
and
The Handbook of Boolean Algebras

KP 

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