(a). If S1,, Sn are open sets in C, then so is Sk. =D1
Advanced Engineering Mathematics
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Transcribed Image Text:4.3. Show that:
(a). If S1,, Sn are open sets in C, then so is N=1 Sk.
(b). If {Sa : a E A} is a collection of open sets in C, where A is any
indexing set, then S = UaEA Sa is also open.
....
(c). The intersection of an arbitrary family of open sets in C need not be
open.
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