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We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the  C    ℵ  -fibration property. We give and prove the relationship between the  C    ℵ  -fibration property and an approximate fibration property. Furthermore, we study the pullback maps for  C    ℵ  -fibrations.

the scientific world journal/thescientificworldjournal

On<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="bold">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="bold">ℵ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-Fibrations in Bitopological Semigroups

OnCℵ-Fibrations in Bitopological Semigroups