Würgler, Urs Commutative ring-spectra of characteristic 2. (English) Zbl 0622.55003 Comment. Math. Helv. 61, 33-45 (1986). Let E be a commutative ring-spectrum with \(\pi_*(E)\) of characteristic 2. The author proves that there is an equivalence of ring theories \(E^*(-)\cong H^*(-; E^*)\) on the category of CW-spectra. The proof proceeds by an induction on the Postnikov factors of E and uses a property of the products of the spectra P(n). The above result yields an elegant proof for the fact that the Eilenberg-MacLane spectrum \(K({\mathbb{Z}}_ 2,0)\) is a Thom spectrum over \(\Omega^ 2S^ 3\). Reviewer: R.Kultze Cited in 1 ReviewCited in 17 Documents MSC: 55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology 55P45 \(H\)-spaces and duals Keywords:products of spectra; commutative ring-spectrum; characteristic 2; Postnikov factors; Eilenberg-MacLane spectrum \(K({bbfZ}_ 2,0)\); Thom spectrum over \(\Omega ^ 2S^ 3\) PDFBibTeX XMLCite \textit{U. Würgler}, Comment. Math. Helv. 61, 33--45 (1986; Zbl 0622.55003) Full Text: DOI EuDML