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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.16580 |
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| _version_ | 1866912659324010496 |
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| author | Toland, J. F |
| author_facet | Toland, J. F |
| contents | For any compact, connected metric space $(M,d)$ the set of points where $M$ is not weakly locally connected is shown to define a partition $\sP$ of $M$ for which the corresponding quotient metric space $(\sQ, \nabla_\sQ)$ is a Peano continuum with $\sQ = \sP$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Peano Quotients of Metric Continua Toland, J. F General Topology 54-02 For any compact, connected metric space $(M,d)$ the set of points where $M$ is not weakly locally connected is shown to define a partition $\sP$ of $M$ for which the corresponding quotient metric space $(\sQ, \nabla_\sQ)$ is a Peano continuum with $\sQ = \sP$. |
| title | Peano Quotients of Metric Continua |
| topic | General Topology 54-02 |
| url | https://arxiv.org/abs/2510.16580 |