Homology Theory from the Geometric Viewpoint
MetadataShow full item record
Given a multiplicative cohomology theory represented by a spectrum, E,we define its associated geometric homology theory by means of bordism. Restrictedto CW pairs, we show how the geometric homology theory is naturally equivalent to the homology theory associated E. This was done by M. Jakob in 2000, and we give an expositionfollowing his approach. We also consider a naturally occurring cap product.