1. The Baire category theorem - Aarhus Universitet

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Definition of first and second category Example: A metric space X with metric d is a topological space: Klaus Thomsen 1. The Baire category theorem
Definition of first and second category Example: A metric space X with metric d is a topological space: The open sets, τ, consists of the subsets U of X which satisfies the following condition: ∀x ∈ U ∃δ > 0 : {y ∈ X : d(y,x) < δ} ⊆ U. Klaus Thomsen 1. The Baire category theorem
Page 1 and 2: 1. The Baire category theorem Klaus
Page 3 and 4: We read in W. Rudin: Functional Ana
Page 5 and 6: Definition of first and second cate
Page 7: Definition of first and second cate
Page 11 and 12: A subset A of S is nowhere dense wh
Page 13 and 14: A subset A of S is nowhere dense wh
Page 21 and 22: Basic properties the notions of cat
Page 33 and 34: The Baire’s category theorem The
Page 35 and 36: Proof of the corollary Reminder ?:
Page 41 and 42: Proof of Baire’s category theorem
Page 47 and 48: On locally compact Hausdorff spaces
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On locally compact Hausdorff spaces
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Proof of Baire’s category theorem
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1. The Baire category theorem - Aarhus Universitet

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