The tangent microbundle of a suitable manifold
HTML articles powered by AMS MathViewer
- by Ronald J. Stern PDF
- Proc. Amer. Math. Soc. 32 (1972), 324-326 Request permission
Abstract:
The purpose of this note is to generalize to the topological category the fact that a suitable differentiable manifold is parallelizable (Theorem 4 of [1]). This result has a “folk-theorem” status in some quarters, but I believe that in view of the recent interest in H-manifolds [2], it would be desirable to have the result on record.References
- Robert F. Brown, On suitable manifolds, Math. Scand. 14 (1964), 174–178. MR 173263, DOI 10.7146/math.scand.a-10715
- Morton Curtis, Finite dimensional $H$-spaces, Bull. Amer. Math. Soc. 77 (1971), 1–12. MR 278303, DOI 10.1090/S0002-9904-1971-12599-5
- J. Milnor, Topological manifolds and smooth manifolds, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 132–138. MR 0161345
- J. H. C. Whitehead, Manifolds with transverse fields in euclidean space, Ann. of Math. (2) 73 (1961), 154–212. MR 124917, DOI 10.2307/1970286
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 324-326
- MSC: Primary 57A55
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292087-7
- MathSciNet review: 0292087