Abstract
We investigate the relation of Souslin (antichain) properties of trees and tree topologies. One result extends a result of Devlin and Shelah by proving, within ZFC, the equivalence of four properties for ${\omega _1}$-trees-collectionwise normal, normal and collectionwise Hausdorff, property $\gamma$, and antichain normal and collectionwise Hausdorff. A second result is the construction, assuming $V = L$, of an Aronszajn tree which is not countably metacompact. Third, we show that no tree can be a Dowker space.
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