A. L. Soukup:
On certain L-spaces under CH
It is shown that
-
under CH every HFC X subset 2^{omega_1} contains a strong HFC
- axiom ``stick'' implies that every HFC X subset 2^{omega_}1
contains a strong HFC_w.
Consequently, under axiom ``stick'' there is no HFC which is
a c.c.c-indestructible L-space.
On the other hand it is also shown that if GCH holds and
X subset 2^{omega_1}
is an HFC then there is a c.c.c. poset P such that
X is a c.c.c.-indestructible HFC_w in V^P.
Dropping GCH we can find a proper P instead of a c.c.c. one.
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appeared in Topology and its Applications
47 (1992) 1--7.