We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Polynomial operations on stable cohomotopy.
- Authors
Vallejo, Ernesto
- Abstract
Following ideas of G. Segal [24] and [25] we give a conceptual framework for the study of a wide class of unstable operations from the 0- th stable cohomotopy π to other homotopy functors, which we call polynomial operations. Using a generalization of the group completion theorem we prove that it is equivalent to study polynomial operations from π as to study characteristic classes of finite coverings. Finally using the Segal conjecture we give a description of the ring of polynomial operations on π in terms of polynomial operations on Burnside rings.
- Publication
Manuscripta Mathematica, 1990, Vol 67, Issue 1, p345
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF02568437