论文标题
综合猜想---反驳
The Omnibus Conjecture---disproved
论文作者
论文摘要
我们为理性同义理论中的长期所谓的“综合猜想”提供了各种反述。也就是说，我们表明具有有限维度甚至有理理性的共同体和有限的球形合理同源性的空间确实可能具有无限的维度合理共同体。 此外，我们还讨论了猜想的“双重”版本和特殊情况。
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.
