1. The Baire category theorem - Aarhus Universitet

More documents

Recommendations

Info

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
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 and 8:
Page 9 and 10:
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 15 and 16: Definition of first and second cate
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
Page 61: On locally compact Hausdorff spaces
Page 89: Proof of Baire’s category theorem
show all

1. The Baire category theorem - Aarhus Universitet

Create successful ePaper yourself

Delete template?

Save as template?