Compactness and Its Consequences
We introduced the term compact for a set S ⊂ ℝ in Definition 1.1.9; we generalized it for a set S ⊂ ℝ N , and proved the Bolzano-Weierstrass theorem (Theorems 1.1.1, 1.1.2) which states that a set S ⊂ ℝ N is compact iff it is closed and bounded
KeywordsCompact Operator Cauchy Sequence Convergent Subsequence Convergent Sequence Normed Linear Space
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