### Citations

40 |
Studies on Generalizations of Continuous Maps in Topological Spaces,
- Sundaram
- 1991
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Citation Context ... and examined its properties. In [6], Eswaran and Pushpalatha defined the notion of � * -generalized continuous maps and a space called τ*-T g space. Using generalized closed sets, Balachandran et al =-=[1]-=- introduced and studied the notion of generalized continuous maps. Thivagar [14] defined and studied maps namely strongly �-open, strongly semiopen, strongly preopen, quasi �-open, quasi semiopen, qua... |

9 | Levine.Generalized closed sets in topology, - unknown authors - 1970 |

5 |
Almost irresolute functions
- Cammaroto, Noiri
- 1989
(Show Context)
Citation Context ...ined and studied maps namely strongly �-open, strongly semiopen, strongly preopen, quasi �-open, quasi semiopen, quasi preopen. Mashhour et al [9], Biswas [2], Mashhour et al [10] and Cammaroto et al =-=[3]-=- defined and studied the maps preopen, semiopen, �-open and semipreopen respectively. Generalized homeomorphisms via generalized closed sets and gc-homeomorphisms in terms of preserving generalized cl... |

3 |
semi-Generalized Homeomorphisms and Generalized semiHomeomorphismin Topological Spaces
- Balachandran, Maki
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Citation Context ...y. Generalized homeomorphisms via generalized closed sets and gc-homeomorphisms in terms of preserving generalized closed sets were first introduced by Maki, Sundaram and Balachandran [8]. Devi et al =-=[4]-=- introduced and studied sghomeomorphism, gs- homeomorphism, sgc-homeomorphism gsc- homeomorphism The purpose of this paper is to introduce and study the notion of �*-g-open map, �*-g-homeomorphism and... |

3 | τ*-Generalized closed sets in topological spaces
- Pushpalatha, Rajarubi
(Show Context)
Citation Context ...n Mathematics KPR Institute of Engineering and Technology Coimbatore Institute of Technology Coimbatore, Tamilnadu, India – 641 407 Coimbatore, Tamilnadu, India – 641 014 Abstract A.Pushpalatha et al =-=[11]-=- introduced the concept of �*-g-closed set in topological spaces. S.Eswaran and A.Pushpalatha [6] introduced and studied the properties of �*-generalized continuous maps and �*-gc-irresolute maps in t... |

2 |
A new closure operator for non-T topologies
- Dunham
- 1982
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Citation Context ...sm, �*-gc-homeomorphisms 1. INTRODUCTION The concept of the closed sets in topological spaces has been generalized to generalized closed sets by Levine [7]. Using the topology �* introduced by Dunham =-=[5]-=-, Pushpalatha et al [11] introduced �* generalized closed sets and examined its properties. In [6], Eswaran and Pushpalatha defined the notion of � * -generalized continuous maps and a space called τ*... |

2 |
generalized continuous maps in topological spaces
- Eswaran, Pushpalatha
(Show Context)
Citation Context ...atore, Tamilnadu, India – 641 407 Coimbatore, Tamilnadu, India – 641 014 Abstract A.Pushpalatha et al [11] introduced the concept of �*-g-closed set in topological spaces. S.Eswaran and A.Pushpalatha =-=[6]-=- introduced and studied the properties of �*-generalized continuous maps and �*-gc-irresolute maps in topological spaces. In this paper, we introduce and study a new class of maps called � * -generali... |

2 |
On generalized homeomorphisms in topological spaces, Bull.Fukuoka Univ.Ed.III 40
- H, Balachandran
- 1991
(Show Context)
Citation Context ...open respectively. Generalized homeomorphisms via generalized closed sets and gc-homeomorphisms in terms of preserving generalized closed sets were first introduced by Maki, Sundaram and Balachandran =-=[8]-=-. Devi et al [4] introduced and studied sghomeomorphism, gs- homeomorphism, sgc-homeomorphism gsc- homeomorphism The purpose of this paper is to introduce and study the notion of �*-g-open map, �*-g-h... |

2 |
Generalization of pairwise �-continuous functions
- Thivagar
- 1991
(Show Context)
Citation Context ...n of � * -generalized continuous maps and a space called τ*-T g space. Using generalized closed sets, Balachandran et al [1] introduced and studied the notion of generalized continuous maps. Thivagar =-=[14]-=- defined and studied maps namely strongly �-open, strongly semiopen, strongly preopen, quasi �-open, quasi semiopen, quasi preopen. Mashhour et al [9], Biswas [2], Mashhour et al [10] and Cammaroto et... |

1 |
El-Monsef and El-Deeb.S.N., On precontinuous and weak precontinuous functions,Proc
- S
(Show Context)
Citation Context ... notion of generalized continuous maps. Thivagar [14] defined and studied maps namely strongly �-open, strongly semiopen, strongly preopen, quasi �-open, quasi semiopen, quasi preopen. Mashhour et al =-=[9]-=-, Biswas [2], Mashhour et al [10] and Cammaroto et al [3] defined and studied the maps preopen, semiopen, �-open and semipreopen respectively. Generalized homeomorphisms via generalized closed sets an... |

1 |
On �-continuous and �- open mappings, Acta
- S, El-Deeb
(Show Context)
Citation Context ...s maps. Thivagar [14] defined and studied maps namely strongly �-open, strongly semiopen, strongly preopen, quasi �-open, quasi semiopen, quasi preopen. Mashhour et al [9], Biswas [2], Mashhour et al =-=[10]-=- and Cammaroto et al [3] defined and studied the maps preopen, semiopen, �-open and semipreopen respectively. Generalized homeomorphisms via generalized closed sets and gc-homeomorphisms in terms of p... |

1 |
A and Eswaran.S, Strong forms of � * -generalized continuous maps in topological spaces
- Pushpalatha
(Show Context)
Citation Context ...homeomorphism) if f is both gs-continuous and gs-open iv) sgc-homeomorphism [4] if both f and f –1 are sg-irresolute map v) gsc- homeomorphism [4] if both f and f –1 are gs-irresolute Remark 2.10. In =-=[12]-=-, it has been proved in Theorem 3.2 that every closed set is �*-g-closed Remark 2.11. In [12], it has been proved in Theorem 3.4 that every g-closed set is �*-g-closed 3. �*-GENERALIZED OPEN MAP IN TO... |

1 |
sg-closed sets and semi-T
- P, Balachandran
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Citation Context ...l int cl(A) [3] ) . Definition 2.6. A map f : X �Y is called i) generalized continuous [1] (g-continuous) if the inverse image of every closed set in Y is g-closed in X ii) semigeneralized continuous =-=[13]-=- (sg-continuous) if f -1 (V) is sg-closed set in X for each closed subset V of Y iii) sg-irresolute [13] if f -1 (V) is sg-closed set in X for each sg-closed set in Y. Definition 2.7. A map f : X � Y ... |

1 |
semitopological properties, Fund.Math. 74(1972), 233-54. A B means A implies B, A B means A does not imply B and A B means A and B are independent
- Crossley, Hildebrand
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Citation Context ...i) strongly �-open [10] if the image of each �-open set in X is a �-open set in Y 38International Journal of Computer Applications (0975 – 8887) Volume 40– No.1, February 2012 iii) strongly semiopen =-=[15]-=- if the image of each semiopen set in X is semiopen in Y iv) strongly preopen [15] if the image of each preopen set in X is a preopen set in Y v) quasi �-open [15] if the image of each �-open set in X... |