Topology Proceedings 28 No. 2 (2004), pp. 579-585

The Urysohn identity for closed subsets of some nonmetrizable manifolds

A. V. Karasev

Let Y be a closed subspace of M×L where M is a compact manifold and L is the long line. Assuming Martin's axiom and the negation of continuum hypothesis, we prove that ind Y = dim Y = Ind Y.

Keywords: Inductive dimension, nonmetrizable manifold, Martin's axiom

Mathematics Subject Classification: 54F45 (55M10)

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Topology Proceedings, Volume 28, No. 2 (2004)
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