IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/642821.html
   My bibliography  Save this article

Properties of some ∗ -dense-in-itself subsets

Author

Listed:
  • V. Renuka Devi
  • D. Sivaraj
  • T. Tamizh Chelvam

Abstract

ℐ -open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well-known Banach category theorem. Quasi- ℐ -openness was introduced and studied by Abd El-Monsef et al. (2000). These are ∗ -dense-in-itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets are given. Also, their relation with ℐ -dense sets and ℐ -locally closed sets is discussed. Characterizations of completely codense ideals are given in terms of semi-preopen sets.

Suggested Citation

  • V. Renuka Devi & D. Sivaraj & T. Tamizh Chelvam, 2004. "Properties of some ∗ -dense-in-itself subsets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:642821
    DOI: 10.1155/S0161171204403391
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2004/642821.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2004/642821.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S0161171204403391?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:642821. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.