The notions of (1,2)*-generalized homeomorphism, (1,2)*-gchomeomorphism, (1,2)*-generalized semi-homeomorphism and (1,2)*-gschomeomorphism are introduced in bitopological spaces. We establish certain results relating to them. Mathematics Subject Classification: 54E55

/pdf/on-bitopological-1-2-generalized-homeomorphisms-1ua6f0hzbr.pdf

On Bitopological (1, 2)*-Generalized Homeomorphisms

In this paper we introduce a new class of sets called (1,2)-ĝ-closed sets and (1,2)-αĝ-closed sets in bitopological spaces. We prove that this (1,2)-αĝclosed sets lies between the class of (1,2)-αclosed sets and the class of (1,2)-αg-closed sets. Also, we find some basic properties of (1,2)-αĝ-closed sets. Applying these sets, we introduce new spaces called (1,2)-Tαĝ space and (1,2) -Tĝ space.

http://www.sajm-online.com/uploads/sajm4-5-3.pdf

A new generalization of closed sets in bitopology

The aim of this paper is to introduce the concepts of (1,2) * -πgb-open map,(1,2) * -πgb-closed map,(1,2) * πgb-homeomorphism and (1,2) * -πgbChomeomorphism and study their basic properties. We also investigate its relationship with other types of functions. 2000 Mathematics Subject Classification: 54E55

http://www.ijsrp.org/research_paper_jul2012/ijsrp-july-2012-21.pdf

A New Type of Homeomorphism in Bitopological Spaces

The aim of this paper is to introduce the concepts of (1, 2)*-rω- continuous mappings and study some of its properties. Their corresponding (1,2)*-rω-irresolute mappings and (1,2)*-rω-homeomorphisms are also defined and investigated in this paper.

• REMARKS ON BITOPOLOGICAL (1, 2)*-rω-HOMEOMORPHISMS

The aim of this paper is to study and characterize (1, 2)?-g#-continuous functions and(1, 2)?-g#-irresolute functions formed with the help of (1, 2)?-g#-closed sets

/pdf/on-1-2-g-continuous-functions-54r03pycf3.pdf

On (1, 2)*-g#-Continuous Functions

/pdf/decompostion-of-1-2-continuity-and-1-2-alpha-continuity-590eq49yyy.pdf

Decompostion of $(1, 2)^*$-continuity and $(1, 2)^*$-$\alpha$-continuity

The aim of this paper is to introduce a new class of continuous multifunctions, namely upper and lower ˆ ω-continuous multifunctions and to obtain some characterizations concerning upper and lower ˆ ω

/pdf/upper-and-lower-o-continuous-multifunctions-5e6vw5y2mf.pdf

Upper and Lower ˆ ω-Continuous Multifunctions

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Decompostion of $(1, 2)^$-continuity and $(1, 2)^$-$\alpha$-continuity

Upper and Lower ˆ ω-Continuous Multifunctions