Abstract
Given a suitable functor T : → between model categories, we define a long exact sequence relating the homotopy groups of any X ε with those of TX, and use this to describe an obstruction theory for lifting an object G ε to. Examples include finding spaces with given homology or homotopy groups.
| Original language | English |
|---|---|
| Pages (from-to) | 169-205 |
| Number of pages | 37 |
| Journal | Journal of K-Theory |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 2008 |
Keywords
- homotopical algebra
- model category
- obstruction theory
- realization
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology