16. A topological space (X, t) is Lindelöf if every open cover of X has a finite or countably infinite subcover. Prove that the property of being Lindelöf is a topological property.
16. A topological space (X, t) is Lindelöf if every open cover of X has a finite or countably infinite subcover. Prove that the property of being Lindelöf is a topological property.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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16. A topological space (X, t) is Lindelöf if every open cover of X has a finite or countably infinite
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Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT
y » Ü ♥
4
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16. A topological space (X, t) is Lindelöf if every open cover of X has a finite or countably infinite
subcover. Prove that the property of being Lindelöf is a topological property.
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