MODULES OF DIFFERENTIALS OF THE ATIYAH-HIRZEBRUCH SPECTRAL SEQUENCE

Abstract

The subject of the article is the Atiyah-Hirzebruch spectral-sequence method in K-theory. In particular, one of the results is the definitive solution (in terms of homology groups) of the problem of realizing the cycles of a manifold by submanifolds, and a formula is given that connects the higher differentials of the spectral sequence with the Steenrod powers. Bibliography: 21 items.