Question: Prove that a space X is connected iff for each open cover {Ua: a E A} of X, and for each X1, X2 E X,

Prove that a space X is connected iff for each open

Prove that a space X is connected iff for each open cover {Ua: a E A} of X, and for each X1, X2 E X, there is a finite sequence Q1, ..., Un such that X1 E VAL, X2 E Uan, and UQiNVait1 0 for each i = 1, ..., n 1

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