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Compactness and Its Consequences

  • L. P. Lebedev
  • I. I. Vorovich
  • G. M. L. Gladwell
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 41)

Abstract

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

Keywords

Compact Operator Cauchy Sequence Convergent Subsequence Convergent Sequence Normed Linear Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • L. P. Lebedev
    • 1
  • I. I. Vorovich
    • 1
  • G. M. L. Gladwell
    • 2
  1. 1.Department of Mathematics and MechanicsRostov State UniversityRussia
  2. 2.Department of Civil EngineeringUniversity of WaterlooCanada

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