Journal of the Ramanujan Mathematical Society

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Precompact and Strongly Nuclear Subsets of C(X)


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1 Department of Mathematics, University of Michigan, ANN Arbor. MI 48109, United States
     

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The well-known Arzela-Ascoli theorem characterizes precompact subsets of C(X); generalizations of this have been made in several directions. Kakutani's pre-compactness lemma [K] and Vala's pre-compactness lemma [VI] are two of the generalizations.
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  • Precompact and Strongly Nuclear Subsets of C(X)

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Authors

M. S. Ramanujan
Department of Mathematics, University of Michigan, ANN Arbor. MI 48109, United States

Abstract


The well-known Arzela-Ascoli theorem characterizes precompact subsets of C(X); generalizations of this have been made in several directions. Kakutani's pre-compactness lemma [K] and Vala's pre-compactness lemma [VI] are two of the generalizations.