论文标题

4个manifold拓扑中的反例

Counterexamples in 4-manifold topology

论文作者

Kasprowski, Daniel, Powell, Mark, Ray, Arunima

论文摘要

我们通过反例的镜头说明了4个Manifold拓扑的丰富景观。我们考虑了几种在4个manifolds上最常见的等效关系以及它们之间的关系。我们解释了含义,例如$ h $ bobordant的流形非常稳定,我们提供的例子说明了其他潜在影响的失败。该信息在流程图和表格中方便地组织起来。

We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds and how they are related to one another. We explain implications e.g. that $h$-cobordant manifolds are stably homeomorphic, and we provide examples illustrating the failure of other potential implications. The information is conveniently organised in a flowchart and a table.

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