On compact subsets of the plane
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910308815077376 |
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| author | Kuba, Gerald |
| author_facet | Kuba, Gerald |
| contents | We construct a family F of compact and pathwise connected subsets of the Euclidean plane such that (i) the cardinality of F is that of the continuum (and hence extremely large) and (ii) if X,Y are distinct spaces in F then there never exists a topological embedding from X into Y. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On compact subsets of the plane Kuba, Gerald General Topology 54B05, 54D30 We construct a family F of compact and pathwise connected subsets of the Euclidean plane such that (i) the cardinality of F is that of the continuum (and hence extremely large) and (ii) if X,Y are distinct spaces in F then there never exists a topological embedding from X into Y. |
| title | On compact subsets of the plane |
| topic | General Topology 54B05, 54D30 |
| url | https://arxiv.org/abs/2401.14985 |