Original Articles

C_b (X) Revisited: Induced Map And Submetrizability

Published in: Quaestiones Mathematicae
Volume 27 , issue 1 , 2004 , pages: 47–56

DOI: 10.2989/16073600409486083

Author(s): S. Kundu

Keywords: FUNCTION SPACE , INDUCED MAP , &MU-SPACE , QUASI-&MU-SPACE , SUBMETRIZABILITY , PSEUDOCOMPACT , CECH-COMPLETE

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Abstract

This paper, in the first half, studies the induced map on the space C _b(X) of all continuous real-valued functions on a Tychonoff spaceX, where the function space has the bounded-open topology. In the second half, the submetrizability of C _b(X) is studied in detail.

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