A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases
Abstract
Here we prove some special cases of the following conjecture: that the sum of the Betti numbers of a 1-connected elliptic space is greater than the total rank of its homotopy groups. Our main tool is Sullivan's minimal model.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.3821
- arXiv:
- arXiv:0803.3821
- Bibcode:
- 2008arXiv0803.3821H
- Keywords:
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- Mathematics - Algebraic Topology;
- 55N34;
- 55P62;
- 57T99
- E-Print:
- 4 pages