Walaa Abdella Alhassan Sidahmed2022-10-132022-10-132014http://hdl.handle.net/123456789/17600This research concern with complex K-Theory. In this study we construct an isomorphism between vector bundles and the homotopy group of bundle in order to use group addition instead of direct sum of bundles. The advantage of this study is the comiection between homotopy theory (homotopy group) and vector bundles.encomplex K-TheoryOn The COMPLEX K-THEORYThesis