Maps and f-normal spaces |
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| Authors: | John J. Schommer Biswajit Mitra |
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| Affiliation: | a Department of Mathematics and Statistics, The University of Tennessee at Martin, Martin, TN 38238, USA
b Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, West Bengal, India |
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| Abstract: | It has long been known that hyper-real maps preserve realcompactness. In this paper we show that hyper-real maps preserve nearly realcompactness as well. We will also introduce the concepts of ε-perfect maps and f-normal spaces and explore them in a way that mirrors Rayburn's 1978 study of δ-perfect maps and h-normal spaces. |
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| Keywords: | primary, 54C10 secondary, 54D60, 54D99 |
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