Skip to main content

Abstract

We would like to discuss the functioning of ideals in N-topological space and also apply various topological properties to ideal N-topology. While trying to achieve this purpose, we study the resultant notion of weak and strong forms of local functions and a computer programme along with its algorithm is derived to establish their relationship with one another.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Abd El-monsef, M.E., Lashien, E.F., Nasef, A.A.: On I-open sets and I-continuous functions. Kyungpook Math. 32, 21–30 (1992)

    MathSciNet  MATH  Google Scholar 

  2. Dontchev, J.: On pre-I-open sets and a decomposition of I-continuity. Banyan Math. J. 2 (1996)

    Google Scholar 

  3. Hatir, E., Noiri, T.: on decompositions of continuity via idealization. Acta Math. Hungar. 96(4), 341–349 (2002)

    Article  MathSciNet  Google Scholar 

  4. Hatir, E., Noiri, T.: On semi-I-open sets and semi-I-continuous functions. Acta Math. Hungar. 107(4), 345–353 (2005)

    Article  MathSciNet  Google Scholar 

  5. Jankovic, D., Hamlett, T.R.: New topologies from old via ideals. Am. Math. Mon. 97(4), 295–310 (1990)

    Article  MathSciNet  Google Scholar 

  6. Kuratowski, K.: Topology, vol. 1. Academic Press, New York (1966)

    MATH  Google Scholar 

  7. Lellis Thivagar, M., Reilly, I.L., Arockia Dasan, M., Ramesh, V.: Generalized open sets in grill N–topology. Appl. Gen. Topol. (Spain) 18(2), 289–299 (2017)

    Article  MathSciNet  Google Scholar 

  8. Lellis Thivagar, M., Ramesh, V., Arockia Dasan, M.: On new structure of N–Topology. Cogent Math. 3, 1–10 (2016)

    Article  MathSciNet  Google Scholar 

  9. Levin, N.: Semi-open sets and semi-continuity in topological spaces. Am. Math. Mon. 70, 36–41 (1963)

    Google Scholar 

  10. Vaidyanathaswamy, R.: The localization theory in set-topology. Proc. Indian Acad. Sci. 20, 51–61 (1945)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Thivagar, M.L., Antonysamy, V., Ramesh, V. (2022). Computation of Ideals in N-Topology. In: Srivastava, P., Thakur, S.S., Oros, G.I., AlJarrah, A.A., Laohakosol, V. (eds) Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare . Lecture Notes in Networks and Systems, vol 214. Springer, Singapore. https://doi.org/10.1007/978-981-16-3807-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-3807-7_4

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-3806-0

  • Online ISBN: 978-981-16-3807-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics