The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures

In this paper, we show that the homeomorphisms of the Sierpiński carpet are not classifiable, up to conjugacy, using isomorphism types of countable structures as invariants.

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Publication Details

Journal
Journal of Topology and Analysis
Published
2024-12-20
DOI
https://doi.org/10.1142/s1793525324500535
Primary Topic
Axon Guidance and Neuronal Signaling
Type
article
Field-Weighted Citation Impact
0.00
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article

The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures

Dhruv Kulshreshtha, Aristotelis Panagiotopoulos
Journal of Topology and Analysis
Axon Guidance and Neuronal Signaling
article

The homeomorphisms of the Sierpiński carpet are not classifiable by countable structures

Dhruv Kulshreshtha, Aristotelis Panagiotopoulos
article en

Abstract

In this paper, we show that the homeomorphisms of the Sierpiński carpet are not classifiable, up to conjugacy, using isomorphism types of countable structures as invariants.

Journal of Topology and AnalysisVol. 18(03)
University of Vienna (AT), University of Michigan (US), Kurt Gödel Society (AT)
Openalex Percentile: Top 75%
Axon Guidance and Neuronal Signaling
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