2022/10/10 by Donald M. Davis, Davis, Donald M., W. Stephen Wilson +1
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2210.04727
We compute ku^*(K(Z/p,2)) and ku_*(K(Z/p,2)), the connective KU-cohomology and connective KU-homology groups of the mod-p Eilenberg-MacLane space K(Z/p,2), using the Adams spectral sequence. We obtain a striking interaction between h0-extensions and exotic extensions. The mod-p connective KU-cohomology groups, computed elsewhere, are needed in order to establish higher differentials and exotic extensions in the integral groups.