Cappell, Slyvain; Weinberger, Shmuel Parallelizability of finite H-spaces. (English) Zbl 0585.55006 Comment. Math. Helv. 60, 628-629 (1985). There is little in the literature on the connection between manifolds and finite H-spaces. One suspects two reasons for this: the beliefs that everything will be obvious to W. Browder and that no useful information will be gained about (the homotopy theory of) H-spaces. The authors prove that with hypotheses on the mod 2 homotopy type and the fundamental group, a finite H-space has the homotopy type of a closed parallelizable smooth manifold. Further results on the geometry of H-spaces are promised. Reviewer: Y.Hubbuck MSC: 55P45 \(H\)-spaces and duals 57R67 Surgery obstructions, Wall groups 55R05 Fiber spaces in algebraic topology Keywords:surgery; Spivak normal fibration; finite H-space; homotopy type of a closed parallelizable smooth manifold PDFBibTeX XMLCite \textit{S. Cappell} and \textit{S. Weinberger}, Comment. Math. Helv. 60, 628--629 (1985; Zbl 0585.55006) Full Text: DOI EuDML