On the Maćkowiak-Tymchatyn theorem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2001
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| _version_ | 1866913479252770816 |
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| author | Hart, K. P. van der Steeg, B. J. |
| author_facet | Hart, K. P. van der Steeg, B. J. |
| contents | In this paper we give new proofs of the theorem of Maćkowiak and Tymchatyn that every metric continuum is a weakly-confluent image of some one-dimensional hereditarily indecomposable continuum of countable weight. The first is a model-theoretic argument; the second is a topological proof inspired by the first. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0110292 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | On the Maćkowiak-Tymchatyn theorem Hart, K. P. van der Steeg, B. J. General Topology 54F15 In this paper we give new proofs of the theorem of Maćkowiak and Tymchatyn that every metric continuum is a weakly-confluent image of some one-dimensional hereditarily indecomposable continuum of countable weight. The first is a model-theoretic argument; the second is a topological proof inspired by the first. |
| title | On the Maćkowiak-Tymchatyn theorem |
| topic | General Topology 54F15 |
| url | https://arxiv.org/abs/math/0110292 |