Title: Algebraic invariants for homotopy types
Author: David Blanc
AMS class.: Primary 55S45; Secondary 55Q35, 55P15, 18G10, 18G55
Address: Univ. of Haifa 31905 Haifa, Israel
e-mail: blanc@math.haifa.ac.il
ABSTRACT:
We define inductively a sequence of purely algebraic invariants - namely,
classes in the Quillen cohomology of the Pi-algebra \pi_* X - for
distinguishing between different homotopy types of spaces.
Another sequence of such cohomology classes allows one to decide whether a
given abstract Pi-algebra can be realized as the homotopy Pi-algebra of a space
in the first place.
The paper is written for a relatively general "resolution model category", so
it also applies, for example, to rational homotopy types.
Note: to appear in Math. Proc. Camb. Phil. Soc.