Gently killing S-spaces

@article{Eisworth1998GentlyKS,
  title={Gently killing S-spaces},
  author={Todd Eisworth and P. Nyikos and S. Shelah},
  journal={Israel Journal of Mathematics},
  year={1998},
  volume={136},
  pages={189-220}
}
We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2ℵ0<2ℵ1. A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size ℵ1, answering a question of the second author [9]. 
12 Citations
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  • PDF
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  • PDF
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  • 1
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  • 6
  • PDF
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  • 3
  • PDF
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  • 6
...
1
2
...

References

SHOWING 1-10 OF 30 REFERENCES
CH with no Ostaszewski spaces
  • 35
  • PDF
NORMALITY IN X2 FOR COMPACT X
  • 29
Basic S and L
  • 67
Proper and Improper Forcing
  • 484
  • Highly Influential
The Integers and Topology
  • 469
Handbook of Set–Theoretic Topology (K
  • Kunen and J. Vaughan, eds.), Elsevier Science Publishers B.V.,
  • 1984
Proper and Improper Forcing, Perspectives in Mathematical Logic
  • Proper and Improper Forcing, Perspectives in Mathematical Logic
  • 1998
Szentmiklóssy , S – spaces and L – spaces under Martin ’ s Axiom
  • Coll . Math . Soc . Janós Bolyai
  • 1998
...
1
2
3
...