We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.
|Number of pages||27|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Nov 1999|
ASJC Scopus subject areas
- Mathematics (all)