New Properties of Optimal δθ -Open and δθ-Closed Sets in Topological Spaces

Authors

  • Bishnupada Debnath  Department of Mathematics, Tripura University, Suryamaninagar, Agartala, Tripura, India

Keywords:

Maximal δθ -open set, minimal δθ -open set, maximal δθ closed set, minimal δθ -closed set, δθ -disconnected

Abstract

In this work, some conditions for dq-disconnectedness of a topological space in terms of maximal and minimal δθ -open sets and also some similar results in terms of maximal and minimal δθ -closed sets and also interrelationships between them are investigated. Generally, we find that if a space has a set which is both maximal and minimal δθ -open, then either this set is the only non-trivial δθ -open set in the space or the space is δθ-disconnected. We also obtain a result concerning a minimal δθ -open set on a subspace.

References

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IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2017-10-31

Issue

Volume 2, Issue 5, September-October-2017

Section

Research Articles

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Copyright (c) IJSRCSEIT

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Bishnupada Debnath, " New Properties of Optimal δθ -Open and δθ-Closed Sets in Topological Spaces, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 5, pp.662-666, September-October-2017.