Abstract
We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in π*X. These depend on first algebraically "delooping" the Π-algebras π*X, using the H-space structure on X, and then trying to realize the delooped Π-algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 75-95 |
| Number of pages | 21 |
| Journal | Fundamenta Mathematicae |
| Volume | 154 |
| Issue number | 1 |
| State | Published - 1997 |
Keywords
- Delooping
- H-space
- Higher homotopy operations
- Loop space
- Obstruction theory
- Topological group
- Π-algebra
ASJC Scopus subject areas
- Algebra and Number Theory