Borels Conjecture in Topological Groups

We introduce a natural generalization of Borels Conjecture. For each infinite cardinal number $\kappa$, let {\sf BC}${\kappa}$ denote this generalization. Then ${\sf BC} {\aleph 0}$ is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture, $eg{\sf BC} {\aleph 1}$ is equivalent to the existence of a Kurepa tree of h

Author: Fred Galvin; Marion Scheepers

Source: https://archive.org/