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On compactness and metrizability of nuclear spaces of manifolds

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Abstract

We prove a theorem on the sequential compactness of the so-called nuclear space of an arbitrary topological manifold.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 830–837, June, 1998.

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Ryazanov, V.I. On compactness and metrizability of nuclear spaces of manifolds. Ukr Math J 50, 944–951 (1998). https://doi.org/10.1007/BF02515228

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  • DOI: https://doi.org/10.1007/BF02515228

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