Some Results on Compactness in Bicomplex Space

Some Results on Compactness in Bicomplex Space

α

Sukhdev Singh

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σ

Rajiv K. Srivastava

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α Dr. B. R. Ambedkar University, Agra, India

Some Results on Compactness in Bicomplex Space

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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.

References

7 Cites in Article

Reference Format

G Price (1991). An introduction to multicomplex spaces and functions.
Rajiv Srivastava (2003). Bicomplex Numbers: Analysis and Applications.
Rajiv Srivastava (2008). Certain Topological Aspects of Bicomplex Space.
Rajiv Srivastava,Sukhdev (2010). Singh: Certain Bicomplex Dictionary Order Topologies.
Rajiv K. Srivastava,Sukhdev Singh (2011). On Bicomplex Nets and their Confinements.
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.

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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.

How to Cite 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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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Bicomplex net compactness complex order topology homeomorphism idempotent order topology

Submission ReceivedAugust 13, 2013
Peer Review Double Blind
Handling Editor
Accepted September 5, 2013
Published September 16, 2013

Version of record

v1.2

Issue date

November 5, 2013

Language

en

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Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Sukhdev Singh, Rajiv K. Srivastava (PhD/Dr. count: 0)

View Count (all-time): 114

Total Views (Real + Logic): 4545

Total Downloads (simulated): 2395

Publish Date: 2013 11, Tue

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Total Views: 4545

Total Downloads: 2395

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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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