Topology Proceedings 30 No. 1 (2006), pp. 327-333

Irreducibility of Product Spaces with Finitely Many Points Removed

Paul B. Larson

We prove an induction step that can be used to show that in certain cases the removal of finitely many points from a product space produces an irreducible space. For example, we show that whenever g is less than ℵ_w, removing finitely many points from the product of g many first countable compact spaces gives an irreducible space. This result answers questions asked privately by Alexander Arhangel'skii.

Mathematics Subject Classification: 03E10 54B10 54D20

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Topology Proceedings, Volume 30, No. 1 (2006)
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