## Boolean algebras with prescribed topological densities

**L. Soukup**

The *topological density
* of a Boolean algebra
is the minimal cardinal such that
can be covered by ultrafilters.

We give a simplified proof of a theorem of M. Rabus and S. Shelah
claiming that for each cardinal
there is a c.c.c Boolean algebra
with topological density
.

**References:**

M. Rabus, S. Shelah,*
Topological density of ccc Boolean algebras -
every cardinality occurs*, Proc. Am. Math. Soc.
Vol 127 (1999). No 9. pp. 2573-2581.

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