Video Lectures By Prof. S. Kumaresan
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Found total 122 results. Displaying results from 121 to 122.
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121
Partial Orders and Zorn’s Lemma -3
Exietnce of a basis, Extension of a linear map on a subspace.
![](https://i1.ytimg.com/vi/We prove the existence of a basis for any nonzero vector space. We then give a "complicated proof" of the extension of a linear map from a vector subspace to the vector space. This may be considered as the "algebraic part" of the Hahn-Banach theorem in Functional Analysis. We made a deliberate choice of the `harder)
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122
Unions and Intersections
Union, Intersection, index family, De Morgan’s laws
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