On some dimensional properties of 4-manifolds

Details On some dimensional properties of 4-manifolds On some dimensional properties of 4-manifolds

1999-08-15

arxiv.org/abs/math/9908074v1

Mathematics

General Topology

13 pages

Scientific paper

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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