On a construction of Bredon
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- by Joseph Roitberg PDF
- Proc. Amer. Math. Soc. 33 (1972), 623-626 Request permission
Abstract:
Using a homotopy-theoretical description of a geometric pairing due to Bredon, we show how to rederive Bredonβs results on the pairing. Furthermore, we are able to, in some sense, complete these results by combining the homotopy-theoretical approach with Sullivanβs determination of the 2-primary Postnikov decomposition of the space G/PL.References
- Glen E. Bredon, A $\Pi _\ast$-module structure for $\Theta _\ast$ and applications to transformation groups, Ann. of Math. (2) 86 (1967), 434β448. MR 221518, DOI 10.2307/1970609
- J. Levine, A classification of differentiable knots, Ann. of Math. (2) 82 (1965), 15β50. MR 180981, DOI 10.2307/1970561 J. Roitberg, PL invariants on a smooth manifold, Thesis, New York University, New York, 1968. D. Sullivan, Triangulating homotopy equivalences, Thesis, Princeton University, Princeton, N.J., 1965.
- Robert E. Williamson Jr., Cobordism of combinatorial manifolds, Ann. of Math. (2) 83 (1966), 1β33. MR 184242, DOI 10.2307/1970467
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 623-626
- MSC: Primary 57D55
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295370-4
- MathSciNet review: 0295370