Moduli spaces of 2-stage Postnikov systems

Mathematics – Algebraic Topology

Scientific paper

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Version 3: Added conventions in section 1.3. Minor changes

Scientific paper

Using the obstruction theory of Blanc-Dwyer-Goerss, we compute the moduli
space of realizations of 2-stage Pi-algebras concentrated in dimensions 1 and n
or in dimensions n and n+1. The main technical tools are Postnikov truncation
and connected covers of Pi-algebras, and their effect on Quillen cohomology.

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