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On the Stone-Čech bicompactification of a bispace
- Part of
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- Journal:
- Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 66 / Issue 3 / June 1999
- Published online by Cambridge University Press:
- 09 April 2009, pp. 358-372
- Print publication:
- June 1999
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In this paper we study the Stone-Čech bicompactification (
) of the bispace (X, P, Q). We show that the ring of all continuous real-valued functions on (
) may be identified with the uniform closure of a suitable subring of C(
). Using this result, we give a characterization of the Wallman-Sanin compactifications of the pairwise Tychonoff bitopological spaces.
) of the bispace (X, P, Q). We show that the ring of all continuous real-valued functions on (
) may be identified with the uniform closure of a suitable subring of 
). Using this result, we give a characterization of the Wallman-Sanin compactifications of the pairwise Tychonoff bitopological spaces.