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Some Actupt the abave proof oprove that VA CR A+ small hareyes AD Fempict Subspce in CR. Jaiake)

Some Actupt the abave proof oprove that VA CR A+ small hareyes AD Fempict Subspce in CR. Jaiake)

Advanced Engineering Mathematics
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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Definition: A space X is compact provided that every open cover of X has a finite subcover. Equivalently, X is compact provided that for every collection O of open sets whose union equals X, there is a finite subcollection {O;}\1 of O whose union equals X. A subspace A of a space X is compact provided that A is a compact topological space in its subspace topology.
Transcribed Image Text:Definition: A space X is compact provided that every open cover of X has a finite subcover. Equivalently, X is compact provided that for every collection O of open sets whose union equals X, there is a finite subcollection {O;}\1 of O whose union equals X. A subspace A of a space X is compact provided that A is a compact topological space in its subspace topology.
ExG Ahauthrt CBi Jeslinik) is (eMPact proof- let ♡ c Jeofinik, R.U be any upen Over of IR. let Oie o > RICh - X Xx J finite VKe l, 2 with Xx G Clr こ) 70,Ja is o subrover of Q Concluson. cR, Tofiniten I is compact. Some Actupt the aboue proof (smalL Crcueger/ to prove that KACR AD Fempict Sucbspa ce in CR. Jafiake)
Transcribed Image Text:ExG Ahauthrt CBi Jeslinik) is (eMPact proof- let ♡ c Jeofinik, R.U be any upen Over of IR. let Oie o > RICh - X Xx J finite VKe l, 2 with Xx G Clr こ) 70,Ja is o subrover of Q Concluson. cR, Tofiniten I is compact. Some Actupt the aboue proof (smalL Crcueger/ to prove that KACR AD Fempict Sucbspa ce in CR. Jafiake)
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