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arXiv · 1904.09634

The Complexity of the Classification Problems of Finite-Dimensional Continua

Cheng Chang·Su Gao
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Abstract

We consider the homeomorphic classification of finite-dimensional continua as well as several related equivalence relations. We show that, when $n \geq 2$, the classification problem of $n$-dimensional continua is strictly more complex than the isomorphism problem of countable graphs. We also obtain results that compare the relative complexity of various equivalence relations.

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BibTeXRIS

Cheng Chang, Su Gao. 2019-04-21. The Complexity of the Classification Problems of Finite-Dimensional Continua. https://arxiv.org/abs/1904.09634

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