Math | Metric Spaces | Examples on Complete Metric Space | Lect. 4 | Dr. S.S.Bellale | DSCL

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#B.Sc. #M.Sc. #SET #NET #GATE #CSIR #SRTMUN #BAMU #SPPU #SU #MU #Math #Metric Spaces #Properties of Closure of Set #Dr. Bellale #DSCL
#Open and Closed Set #Open and Closed Sphere #Neighborhood of a Point #Open Sets, #Adherent Point #Isolated Point #Limit Point #Closed Sets #Subspace #Closure of a Set #DayanandScience College Latur, #Dr.S.S.Bellale #Metric Space #Set of Real Numbers #Metric on Set of Complex #Numbers #Discrete metric or Trivial Metric #Tehebyshev Metric #Sup Metric #Subspaces #theorem on Subspace
#Convergence and Completeness #Definition #Cauchy Sequence #Cantor’s Intersection theorem # Baire’s Category theorem #Continuity and Uniform Continuity #Definitions #Examples #Theorems on Continuity and Uniform Continuity #Banach Fixed Point Theorem,
Open and Closed Spheres
Neighborhood of a Point,
Open Sets, Limit Points, Closed Sets
Subspaces, Closure of a Set.
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