A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

Details A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

2008-03-26

arxiv.org/abs/0803.3821v1

Mathematics

Algebraic Topology

4 pages

Scientific paper

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.

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