Answered: Suppose that X,X, are both the open…

Suppose that X,X, are both the open subsets of X, X = X,UX,, and both X and X,NX, are path- connected. Please prove that both X, and X, are also path-connected.

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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Suppose that X1,X, are both the open subsets of X, X = X,UX,, and both X and X,NX, are path-
connected. Please prove that both X, and X, are also path-connected.

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