Borel's conjecture in topological groups

  title={Borel's conjecture in topological groups},
  author={Fred Galvin and Marion Scheepers},
  journal={J. Symb. Log.},
We introduce a natural generalization of Borel’s Conjecture. For each infinite cardinal number κ, let BCκ denote this generalization. Then BCא0 is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture,¬BCא1 is equivalent to the existence of a Kurepa tree of heightא1. Using the connection of BCκ with a generalization of Kurepa’s Hypothesis, we obtain the following consistency results: (1) If it is consistent that there is a 1-inaccessible cardinal then it is… CONTINUE READING

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Showing 1-10 of 26 references

On the consistency of Borel’s conjecture

R. Laver
Acta Mathematica 137 • 1976
View 16 Excerpts
Highly Influenced

On topological groups close to being Lindelöf

I. I. Guran
Soviet Math. Dokl. 23 • 1981
View 7 Excerpts
Highly Influenced

Walks on ordinals and their characteristics, Birkhäuser Verlag series: Progress in Mathematics

S. Todorcevic
View 1 Excerpt

PFA implies ADL(ℝ)

J. Symb. Log. • 2005
View 1 Excerpt


J. Cummings
Foreman and M.Magidor, Squares, scales and stationary reflection, Journal of Mathematical Logic 1:1 • 2001

Square in core models

Bulletin of Symbolic Logic • 2001
View 1 Excerpt

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