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New properties of Mrowka's space
Authors:John Kulesza
Institution:Department of Mathematics, George Mason University, Fairfax, Virginia 22030-4444
Abstract:We extend the technique of Mrowka to show that his space $\nu\mu_0$ has the property that dim $\nu\mu_0^n = n$ while ind $\nu\mu_0^n = 0$, assuming his extra set-theoretic hypothesis. We also show that $\nu\mu_0$ is $N-$compact, so assuming the extra axiom, there is an $N-$compact metric space with no $N-$compact completion.

Keywords:Dimension  metric space  completion  $N-$compact  product space
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