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COMPACTIFICATION IN BITOPOLOGICAL SPACES

M. E. Abd EI-Moosef, A.M. Kozae, B. M. Taher

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Abstract

Using the (i,j) A.y.bitopological concepts. we construct (i,j) A.y-compactness which generalizes the notion of pairwise compactness (semi-compactness. strong compact­ ness). The images of these concepts under some types of functions are discussed. Also we introduce (i,j) A.y.compactification of bispaces and many of its properties and characterization are investigated.

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Using the (i,j) A.y.bitopological concepts. we construct (i,j) A.y-compactness which generalizes the notion of pairwise compactness (semi-compactness. strong compact­ ness). The images of these concepts under some types of functions are discussed. Also we introduce (i,j) A.y.compactification of bispaces and many of its properties and characterization are investigated.

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Available abstract

Using the (i,j) A.y.bitopological concepts. we construct (i,j) A.y-compactness which generalizes the notion of pairwise compactness (semi-compactness. strong compact­ ness). The images of these concepts under some types of functions are discussed. Also we introduce (i,j) A.y.compactification of bispaces and many of its properties and characterization are investigated.

Key concepts: Compact space, Compactification (mathematics), Mathematics, Pure mathematics, Pairwise comparison, Characterization (materials science), Discrete mathematics, Physics

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