Video Lectures By Prof. S. Kumaresan
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Found total 122 results. Displaying results from 96 to 100.
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96
Metric Spaces - 8b
Continuity on metric spaces
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97
Metric Spaces – 9
Real Valued Continuous functions ona materic space
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98
Metric Spaces – 10
Algebra of real valued continuous functions, Urysohn’s lemma
 denotes the set of all real valued continuous functions on the metric space X, we show that it is a real vector space and it is also a commutative ring with identity (in fact, it is an algebra, if you know what it is). We prove the Urysohn)
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99
Metric Spaces -11
Eplison delta definition of continuity
![](https://i1.ytimg.com/vi/We prove that the sequential definition and the epsilon-delta definition of continuity are equivalent. We then formulate the continuity at a point in terms of open sets. Finally we show that if the function is continuous on a metric space, then the "inverse image" of an open set in the codomain is open in the domain. /sddefault.jpg)
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100
Metric Spaces -12
Invverse images, Continuity in terms of open sets
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