On the concept of Approximate Cofibration

Ali Nasser, Y. Gh. Gouda

In this article we study an important concept in the theory of fibration and cofibration, namely approximate cofibration (A-cofibration), which is the dual of the concept of approximate fibration  [5, 10, 13], we give some examples. Following the  known problems concerning the concept of cofibration as; the composition, the product, the pullback, the relation with retracts and so on, [1, 4, 6, 7 and 13], we give some similar results concerning A-cofibration.