1. The Baire category theorem - Aarhus Universitet

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On locally compact Hausdorff spaces Proof. It follows that B ⊆ α∈F Uα, proving that B is compact. Lemma Let X be a locally compact Hausdorff space, K a compact subset of X and U an open subset of X such that K ⊆ U. There is then an open set V in X with compact closure V such that K ⊆ V ⊆ V ⊆ U. Klaus Thomsen 1. The Baire category theorem
On locally compact Hausdorff spaces Proof. Since X is locally compact we can, for each k ∈ K, find an open set Wk such that k ∈ Wk and Wk is compact. Klaus Thomsen 1. The Baire category theorem
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1. The Baire category theorem Klaus
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We read in W. Rudin: Functional Ana
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Definition of first and second cate
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1. The Baire category theorem - Aarhus Universitet

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