Borel's conjecture in topological groups
Borel's conjecture in topological groups
Abstract We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number κ , let BC κ denote this generalization. Then BC ℕ 0 is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture, ¬BC ℕ 1 is equivalent to the existence of a Kurepa tree …