Correction to: HZ-algebra spectra are differential graded algebras

Details Correction to: HZ-algebra spectra are differential graded algebras Correction to: HZ-algebra spectra are differential graded algebras

2007-08-09

arxiv.org/abs/0708.1299v2

Mathematics

Algebraic Topology

The original article is actually correct as stated. Thus, this correction article is unnecessary.

Scientific paper

This correction article is actually unnecessary. The proof of Theorem 1.2, concerning commutative HQ-algebra spectra and commutative differential graded algebras, in the author's paper [American Journal of Mathematics vol. 129 (2007) 351-379 (arxiv:math/0209215v4)] is correct as originally stated. Neil Strickland carefully proved that D is symmetric monoidal; so Proposition 4.7 and hence also Theorem 1.2 hold as stated. Strickland's proof will appear in joint work with Stefan Schwede; see related work in Strickland's [arxiv:0810.1747]. Note here D is defined as a colimit of chain complexes; in contrast, non-symmetric monoidal functors analogous to D are defined as homotopy colimits of spaces in previous work of the author.

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