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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 6, Pages 359-369
doi:10.1155/S0161171201005063

Compacity in narrow limit tower spaces

Liviu C. Florescu

Faculty of Mathematics, University Al. I. Cuza, Carol I, 11, RO-6600, Romania

Abstract

We introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov's theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension.