Some Results on Compactness in Bicomplex Space

1
Sukhdev Singh
Sukhdev Singh
2
Rajiv K. Srivastava
Rajiv K. Srivastava
1 Dr. B. R. Ambedkar University, Agra, India

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GJSFR Volume 13 Issue F9

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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.

7 Cites in Articles

References

  1. G Price (1991). An introduction to multicomplex spaces and functions.
  2. Rajiv Srivastava (2003). Bicomplex Numbers: Analysis and Applications.
  3. Rajiv Srivastava (2008). Certain Topological Aspects of Bicomplex Space.
  4. Rajiv Srivastava,Sukhdev (2010). Singh: Certain Bicomplex Dictionary Order Topologies.
  5. Rajiv K. Srivastava,Sukhdev Singh (2011). On Bicomplex Nets and their Confinements.
  6. S Willard (1970). General topology.
  7. 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.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Sukhdev Singh. 2013. \u201cSome Results on Compactness in Bicomplex Space\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F9): .

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GJSFR Volume 13 Issue F9
Pg. 11- 19
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

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November 5, 2013

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English

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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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Some Results on Compactness in Bicomplex Space

Sukhdev Singh
Sukhdev Singh Dr. B. R. Ambedkar University, Agra, India
Rajiv K. Srivastava
Rajiv K. Srivastava

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