Some Results on Compactness in Bicomplex Space

Authors

  • Sukhdev Singh

  • Rajiv K. Srivastava

Bicomplex net, idempotent order topology, complex order topology, compactness, homeomorphism., homeomorphism

Abstract

In this paper, we have studied the continuity and compactness of the bicomplex space and its subsets. We have studied the compactness of some subsets of the bicomplex space in the idempotent order topology. We have also given a result regarding homeomorphism in the idempotent order topology and the complex order topology on the bicomplex space.

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How to Cite

Some Results on Compactness in Bicomplex Space. (2013). Global Journal of Science Frontier Research, 13(40), 11-19. https://journalofscience.org/index.php/GJSFR/article/view/103240

References

G Price (1991) An introduction to multicomplex spaces and functions.

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Rajiv Srivastava (2008) Certain Topological Aspects of Bicomplex Space. 2, 222-234.

Rajiv Srivastava, Sukhdev (2010) Singh: Certain Bicomplex Dictionary Order Topologies. (4), 245-258.

Rajiv K. Srivastava, Sukhdev Singh (2011) On Bicomplex Nets and their Confinements. 1(1), 8-16.

S Willard (1970) General topology.

S Willard (1970) E a r l y V i e w 6. Srivastava, Rajiv K. and Sukhdev Singh: On Various Types of Convergences of Bicomplex Nets. 6, 69-82.

Some Results on Compactness in Bicomplex Space

Published

2013-08-23

How to Cite

Some Results on Compactness in Bicomplex Space. (2013). Global Journal of Science Frontier Research, 13(40), 11-19. https://journalofscience.org/index.php/GJSFR/article/view/103240