Open Access Open Access  Restricted Access Subscription or Fee Access

Generalized -g Closed Sets with Respect to Fuzzy Ideal

M. Mary Victoria Florence, Dr.R. Alagar

Abstract


A fuzzy ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions.  The concept of generalized closed sets was introduced by Levine.  The concept of generalized Á-g closed sets with respect to a fuzzy ideal is introduced and studied in this article, which extend the classical theory on generalized closed sets. The theorems regarding,Á-g closed, Á-g open and Á compact are discussed.


Keywords


C- Compact, Compatible Ideal  , C- Compact,-g –Topology Generalized.

Full Text:

PDF

References


T.R.Hamlett and D. Jankovic: Compactness with respect to an ideal, Bollo un. Mat. Ital. B (7) 4 (1990), 849 – 861.

D.Jankovic and T.R.Hamlett .: New topologies from old via ideals, American math monthly, 97, (1990) 295 – 310.

N.Levine: Generalized closed sets in topology, Amer. math. Monthly. 70(1963), 36-41.

R.L. Newcomb.: Topologies which are compact modulo an ideal, Ph.D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.

R. Vaidyanathaswamy: Set topology, Chelsea publishing company 1960.

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


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.