Symmetric products and the stable Hurewicz homomorphism

Abstract

Section 3 recalls results from various papers and studies questions of connec- tivity (at a given prime p). The techniques are classical in nature. PROPOSITION 3.1. Let X be a strongly convergent spectrum which is homo- logically (n-1)-connected. Then pr SP (X)tp) SP Xp) -KZ/ Xtp) is at least (2ff + + n-4)-connected.