turkmath.org

In a joint work with Özgün Ünlü, we develop an obstruction theory for lifting equivariant diagrams to actual commutative diagrams. Our motivation for this study is to build G-CW-complexes with controlled isotropy subgroups which are homotopy equivalent to product of spheres. One can use this obstruction theory to construct such a complex from building blocks which are only known up to homotopy by promoting them to an actual gluing data. In this talk, I will discuss one such application.