1. The Baire category theorem - Aarhus Universitet
1. The Baire category theorem - Aarhus Universitet
1. The Baire category theorem - Aarhus Universitet
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On locally compact Hausdorff spaces<br />
Proof.<br />
Consider an element k ∈ K. Since X is Hausdorff there are open<br />
sets, Wk ⊆ X and Uk ⊆ X, such that k ∈ Wk,p ∈ Uk and<br />
Wk ∩ Uk = ∅.<br />
Klaus Thomsen <strong>1.</strong> <strong>The</strong> <strong>Baire</strong> <strong>category</strong> <strong>theorem</strong>