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A note on extremal disconnectedness in bitopological spaces

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Abstract

Pairwise extremally disconnected bitopological spaces exhibit properties similar to those of pairwise normal bitopological spaces. Due to this fact, we get results which resemble Uryshon’s Lemma and Tietze’s Extension Theorem for the pairwise extremally disconnected bitopological spaces.

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References

  1. J. L. Kelly, General Topology, Van Nostrand (New York, 1995).

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  2. J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 13 (1963), 71–89.

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  3. R. D. Sarma and D. Hazarika, A Uryshon’s Lemma type result for extremally disconnected spaces, Bull. Guahati Univ. Math. Assoc., 7 (2002), 21–26.

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Authors and Affiliations

  1. Department of Mathematics, Rajdhani College (University of Delhi), Raja Garden, Delhi, 110015, India

    R. D. Sarma

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  1. R. D. Sarma
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Correspondence to R. D. Sarma.

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Sarma, R.D. A note on extremal disconnectedness in bitopological spaces. Acta Math Hung 120, 141–146 (2008). https://doi.org/10.1007/s10474-007-7118-y

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  • DOI: https://doi.org/10.1007/s10474-007-7118-y

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