论文标题

连接总和上的合理同副率类型的同型纤维

The Rational Homotopy Type of Homotopy Fibrations Over Connected Sums

论文作者

Chenery, Sebastian

论文摘要

我们提供了一个简单的条件,即在连接的总和上,在循环后,在连接的总和上,在连接的总和上进行了合理同型类型的合理振动的总空间。这是从Jeffrey和Selick的最新工作中汲取灵感的,他们在其中研究了这种类型的回溯纤维,但与我们的结果相比,假设更强。

We provide a simple condition on rational cohomology for the total space of a pullback fibration over a connected sum to have the rational homotopy type of a connected sum, after looping. This takes inspiration from recent work of Jeffrey and Selick, in which they study pullback fibrations of this type, but under stronger hypotheses compared to our result.

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