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B.Sc. Third Year, Paper – XII ( Metric Spaces )

“ Gramin ACS College Vasantnagar, Kotgyal”

Dr. Parshuram R. Shnde

Department of Mathematics

Gramin ACS College Vasantnagar, Kotgyal.

Tq : Mukhed, Dist : Nanded (M.S.) INDIA

Unit – II : Convergence and Completeness PPT Presented by……

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Unit – II : Convergence and Completeness

Contents :

Cauchy Sequence, Complete Metric Space, Cantor's Intersection Theorem, Baire's Category Theorem. Continuity and Uniform Continuity: Defnitions, Examples, Theorems on Continuity and Uniform Continuity, Banach Fixed Point Theorem.

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Convergence and completeness:

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Continuity and uniform continuity :

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Thank you…