Steenrod problem and the domination relation
Abstract
We indicate how to combine some classical topology (Thom's work on the Steenrod problem) with some modern topology (simplicial volume) to show that every map between certain manifolds must have degree zero. We furthermore discuss a homotopy theoretic interpretation of parts of our proof, using Thom spaces and Steenrod powers.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2018
- DOI:
- 10.48550/arXiv.1808.03991
- arXiv:
- arXiv:1808.03991
- Bibcode:
- 2018arXiv180803991L
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Geometric Topology
- E-Print:
- 9 pages