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On some dimensional properties of 4-manifolds

Alex Chigogidze·V. V. Fedorchuk
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Abstract

It is shown, under the assumption of Jensen's principle $\lozenge$, that if for a complex L with $[L] \geq [S^{4}]$ there exists a metrizable compactum whose extension dimension is L, then there exists a differentiable, countably compact, perfectly normal and hereditarily separable 4-manifold whose extension dimension is also [L].

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Alex Chigogidze, V. V. Fedorchuk. 1999-08-15. On some dimensional properties of 4-manifolds. https://arxiv.org/abs/math/9908074

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