Homeomorphisms of the Pseudoarc
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917881145458688 |
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| author | Bice, Tristan Malicki, Maciej |
| author_facet | Bice, Tristan Malicki, Maciej |
| contents | We construct homeomorphisms of compacta from relations between finite graphs representing their open covers. Applied to the pseudoarc, this yields simple Fraïssé theoretic proofs of several important results, both old and new. Specifically, we recover Bing's classic results on the uniqueness and homogeneity of the pseudoarc. We also show that the autohomeomorphism group of the pseudoarc has a dense conjugacy class, thus confirming a conjecture of Kwiatkowska. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20401 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homeomorphisms of the Pseudoarc Bice, Tristan Malicki, Maciej General Topology Dynamical Systems Logic 05C62, 06A07, 37B45, 54F15, 54H11 We construct homeomorphisms of compacta from relations between finite graphs representing their open covers. Applied to the pseudoarc, this yields simple Fraïssé theoretic proofs of several important results, both old and new. Specifically, we recover Bing's classic results on the uniqueness and homogeneity of the pseudoarc. We also show that the autohomeomorphism group of the pseudoarc has a dense conjugacy class, thus confirming a conjecture of Kwiatkowska. |
| title | Homeomorphisms of the Pseudoarc |
| topic | General Topology Dynamical Systems Logic 05C62, 06A07, 37B45, 54F15, 54H11 |
| url | https://arxiv.org/abs/2412.20401 |