6.3.4. Theorem The following three properties are equivalent:X is regular.For each xe X and a nbd. U(x) of x there exists another nbd.V(x) of x such that x € V≤veu.(iii) For each x € X and a closed set Ae X not containing or thereexists a nbd. V(x) of x such that VA=0.(1)(ii)

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Answered: For each xe X and a nbd: U(x) of x…

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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For each xe X and a nbd: U(x) of x there exists another nbd.