## A lifting theorem on forcing LCS spaces

**Lajos Soukup **

Denote by
the statement that there is an LCS space
of height and width .
We prove, for each regular cardinal , that if
there is a ``natural'' c.c.c poset
such that
holds in
then there is a ``natural'' c.c.c poset
as well such that
holds in
for each
.

Key words and phrases: locally compact scattered space, superatomic Boolean
algebra, cardinal sequence, lifting theorem

2000 Mathematics Subject Classification: 54A25, 06E05, 54G12, 03E20

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