Whitehead aspherical conjecture via ribbon sphere-link

Abstract

Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. For every contractible finite 2complex, an argument on ribbon sphere-links allows us to confirm that the conjecture is true. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex.