“ Serving The Academic Community Since 1914 ”


J. Sengupta
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  • Author: J. Sengupta
  • Language: English

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  • Author: J. Sengupta
  • Edition: 4th
  • Language: English
  • Book: Metric Spaces  (JOYDEEP SENGUPTA)
  • Binding: Paperback
  • Publishing Date: 2020
  • Number of Pages: 294 Pages


• METRIC SPACES : Definition & Example, Bounded, Unbounded & Pseudo-metric, Non-empty • OPEN AND CLOSED SETS : Concepts, Interior points, Exterior points, Frontier points, Limit point, Isolated point, Derived set, Dense sets, Separable set • COMPLETE METRIC SPACE : Sequence, Convergence, Isometry, Completion of a Metric Space, Cauchy Sequence • CONTINUITY : Function, Continuous functions, Algebra of Real/Complex valued functions, Uniform Continuity • CONNECTED METRIC SPACES : Separated sets, Disconnected & Connected Sets/Spaces, Components, Disconnected spaces, Continuity/Connectedness, Real Line • COMPACT METRIC SPACE : Compactness, Lindelof Space, Finite Intersection, Boundedness

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