Some Results on Compactness in Bicomplex Space
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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References
G Price (1991) An introduction to multicomplex spaces and functions.
Rajiv Srivastava (2003) Bicomplex Numbers: Analysis and Applications. 72(1-4), 63-87.
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.
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2013-08-23
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