Rothberger bounded groups and Ramsey theory

@article{Scheepers2010RothbergerBG,
  title={Rothberger bounded groups and Ramsey theory},
  author={M. Scheepers},
  journal={Topology and its Applications},
  year={2010},
  volume={158},
  pages={1575-1583}
}
  • M. Scheepers
  • Published 2010
  • Mathematics
  • Topology and its Applications
Abstract We show that: (1) Rothberger bounded subgroups of σ-compact groups are characterized by Ramseyan partition relations (Corollary 4). (2) For each uncountable cardinal κ there is a T 0 topological group of cardinality κ such that ONE has a winning strategy in the point-open game on the group and the group is not a closed subspace of any σ-compact space (Theorem 8). (3) For each uncountable cardinal κ there is a T 0 topological group of cardinality κ such that ONE has a winning strategy… Expand
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