The Omnibus Conjecture---disproved
Algebraic Topology
2020-11-04 v1
Abstract
We provide various counter-examples to the long-standing so-called "Omnibus Conjecture" in Rational Homotopy Theory. That is, we show that a space with finite dimensional even-degree rational cohomology and finite dimensional spherical rational homology may indeed have infinite dimensional rational cohomology. Moreover, we also discuss "dual" versions and special cases of the conjecture.
Cite
@article{arxiv.2011.01827,
title = {The Omnibus Conjecture---disproved},
author = {Manuel Amann},
journal= {arXiv preprint arXiv:2011.01827},
year = {2020}
}