若干拓扑维数有界紧网络上同胚关系的复杂性

Pub Date : 2023-01-01 DOI:10.4064/fm164-8-2023
Jan Dudák, Benjamin Vejnar
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引用次数: 0

摘要

从不变描述集合论的观点出发,讨论了若干可度量紧元类上同胚关系的复杂性。证明了平面上绝对缩回的同胚关系是Borel双约的
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The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension
We are dealing with the complexity of the homeomorphism relation on some classes of metrizable compacta from the viewpoint of invariant descriptive set theory. We prove that the homeomorphism relation for absolute retracts in the plane is Borel bireducibl
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