Displaying similar documents to “HC-convergence theory of L -nets and L -ideals and some of its applications”

A new form of fuzzy α -compactness

Fu Gui Shi (2006)

Mathematica Bohemica

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A new form of α -compactness is introduced in L -topological spaces by α -open L -sets and their inequality where L is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice L . It can also be characterized by means of α -closed L -sets and their inequality. When L is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable α -compactness and the...

Mildly ( 1 , 2 ) * -normal spaces and some bitopological functions

K. Kayathri, O. Ravi, M. L. Thivagar, M. Joseph Israel (2010)

Mathematica Bohemica

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The aim of the paper is to introduce and study a new class of spaces called mildly ( 1 , 2 ) * -normal spaces and a new class of functions called ( 1 , 2 ) * - rg -continuous, ( 1 , 2 ) * - R -map, almost ( 1 , 2 ) * -continuous function and almost ( 1 , 2 ) * - rg -closed function in bitopological spaces. Subsequently, the relationships between mildly ( 1 , 2 ) * -normal spaces and the new bitopological functions are investigated. Moreover, we obtain characterizations of mildly ( 1 , 2 ) * -normal spaces, properties of the new bitopological functions and preservation...

Some remarks on the product of two C α -compact subsets

Salvador García-Ferreira, Manuel Sanchis, Stephen W. Watson (2000)

Czechoslovak Mathematical Journal

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For a cardinal α , we say that a subset B of a space X is C α -compact in X if for every continuous function f X → ℝ α , f [ B ] is a compact subset of ℝ α . If B is a C -compact subset of a space X , then ρ ( B , X ) denotes the degree of C α -compactness of B in X . A space X is called α -pseudocompact if X is C α -compact into itself. For each cardinal α , we give an example of an α -pseudocompact space X such that X × X is not pseudocompact: this answers a question posed by T. Retta in “Some cardinal generalizations of pseudocompactness”...