New properties of Mrowka’s space 𝜈𝜇₀

Kulesza, John

doi:10.1090/S0002-9939-04-07393-9

New properties of Mrowka’s space $\nu \mu _0$
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Proc. Amer. Math. Soc. 133 (2005), 899-904 Request permission

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.

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