Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658322 | Topology and its Applications | 2015 | 25 Pages |
Abstract
We construct the homotopy pullback of AnAn-spaces and show some universal property of it. As the first application, we review Zabrodsky's result which states that for each prime p , there is a finite CW complex which admits an Ap−1Ap−1-form but no ApAp-form. As the second application, we investigate AnAn-types of gauge groups. In particular, we give a new result on AnAn-types of the gauge groups of principal SU(2)SU(2)-bundles over S4S4, which is a complete classification when they are localized away from 2.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Mitsunobu Tsutaya,