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- Title
GLC AND GLC** CONTINUOUS FUNCTIONS: A CONCEPTUAL FLAW.
- Authors
Powar, P. L.; Dubey, Pratibha
- Abstract
The concept of generalized locally closed sets (glc-sets), GLC**-sets followed by the notion of GLC and GLC**- continuous maps was initiated by Balachandran et al. (Generalized locally closed sets and GLC-continuous functions, Indian J. pure appl. Math 27(3): 235-244, 1996). In the present work, it has been established that the collection of glc-sets and the collection of GLC** -sets, each is exactly equal to the power set P (X) of X. Consequently, any arbitrary function with any choice of domain and range turns out to be GLC and GLC**-continuous function which is not desirable from analytic point of view.
- Subjects
MATHEMATICAL functions; SET theory; MATHEMATICAL optimization; NUMERICAL analysis; MATHEMATICAL models
- Publication
International Journal of Advanced Research in Computer Science, 2017, Vol 8, Issue 8, p303
- ISSN
0976-5697
- Publication type
Article
- DOI
10.26483/ijarcs.v8i8.4676