Electronic Version 18 (1993), 231-244

Yuan-Qing Qiao and Franklin D. Tall

We investigate the metrizability of perfectly normal non-archimedean spaces in Levy and Mitchell-collapse models. By collapsing a supercompact cardinal to aleph_2, we prove that in the extension all perfectly normal non-archimedean spaces of size essentially greater than or equal to \aleph₂ must be metrizable. It follows that \kappa⁺-Souslin lines with small subspaces metrizable do not exist in these models.

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volume 18: table of contents
topology proceedings Electronic Version