SEPARATION AXIOMS ON BI-GENERALIZED TOPOLOGICAL SPACES

다국어 초록 (Multilingual Abstract)

In this paper, introducing various separation axioms on a bi-GTS, it has been observed that such separation axioms actually unify the well-known separation axioms on topological spaces. Sev-eral characterizations of such separation properties of a bi-GTS are established in terms of °¹i;¹j -closure operator, generalized cluster
sets of functions and graph of functions.

참고문헌 (Reference)

1 M. P. Bhamini, "The role of semi-open sets in topology" University of Delhi 1983

2 C. Dorsett, "T0 Identification spaces and R1 spaces" 18 (18): 167-174, 1978

3 A. Kar, "Some weak separation axioms" 82 : 415-422, 1990

4 S. N. Maheshwari, "Some new separation axioms" 89 : 395-402, 1975

5 C. Dorsett, "Semi-regular space" 8 : 45-53, 1982

6 N. Levine, "Semi-open sets and semi-continuity in topological spaces" 70 : 36-41, 1963

7 C. Dorsett, "Semi T₁and Semi R0 Spaces"

8 A. S.Mashhour, "On pretopologi-cal spaces" 28 (28): 1984

9 A. S. Mashhour, "On pre-continuous and weak pre-continuous mappings" 53 : 47-53, 1982

10 R. Bhowmick, "On generalized sets of functions and multifunc-tions" 140 : 47-59, 2013

11 M. K. Singal, "On almost regular spaces" 4 (4): 89-99, 1969

12 W. K. Min, "Mixed weak continuity on generalized topological spaces" 132 (132): 339-347, 2011

13 N. V. Velicko, "H-closed topological spaces" 78 (78): 103-118, 1968

14 A. Csaszar, "Generalized topology, generalized continuity" 96 (96): 351-357, 2002

15 S. Willard, "General Topology" Addison-Wesley 1970

16 A. Csaszar, "Further remarks on δ- and Θ-modifications" 123 : 223-228, 2009

17 M. Pal, "Feeble and strong forms of pre-irresolute function" 19 : 63-75, 1996

18 M. Caldas, "Characterizations of pre R0 and pre R₁topological spaces" 25 : 17-30, 2000

19 W. K. Min, "A note on δ- and Θ-modifications" 2010