Orientable $4$-dimensional Poincaré complexes have reducible Spivak fibrations
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Abstract:
We show that the Spivak normal fibration of an orientable $4$-dimensional Poincaré complex has a vector bundle reduction.References
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Additional Information
- Ian Hambleton
- Affiliation: Department of Mathematics & Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada
- MR Author ID: 80380
- Email: hambleton@mcmaster.ca
- Received by editor(s): August 24, 2018
- Received by editor(s) in revised form: September 30, 2018
- Published electronically: March 15, 2019
- Additional Notes: Research partially supported by NSERC Discovery Grant A4000
- Communicated by: Mark Behrens
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3177-3179
- MSC (2010): Primary 57P10, 57R90
- DOI: https://doi.org/10.1090/proc/14465
- MathSciNet review: 3973916