Counterexamples in 4-manifold topology
Counterexamples in 4-manifold topology
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DOI：
10.4171/emss/56
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发表时间：
2022-03
影响因子：
2.3
通讯作者：
Daniel Kasprowski;Mark Powell;Arunima Ray
中科院分区：
文献类型：
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作者：
Daniel Kasprowski;Mark Powell;Arunima Ray
我们通过反例的透镜来说明4-流形拓扑的丰富景观。我们考虑几个最常见的研究等价关系的4-流形，以及它们是如何相互关联的。我们解释的影响，例如，$H$-协边流形是稳定同胚的，我们提供的例子说明失败的其他潜在的影响。信息以流程图和表格的形式方便地组织起来。
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.