Extension of Hyperspace Selections
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915432768733184 |
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| author | Gutev, Valentin |
| author_facet | Gutev, Valentin |
| contents | In 1951, Ernest Michael wrote a definitive seminal article on hyperspaces raising a general question that became known as the hyperspace selection problem. The present paper contains some aspects of this problem, along with several open questions. Most of these considerations and questions are related to the usual map extension problem, but now in the setting of hyperspaces and hyperspace selections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19085 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extension of Hyperspace Selections Gutev, Valentin General Topology Primary 54B20, 54C20, 54C65, 54D15, 54F05, 54F45, 54F65, Secondary 54D20, 54D45, 54D55, 54G05, 54G12, 05C20, 05C21 In 1951, Ernest Michael wrote a definitive seminal article on hyperspaces raising a general question that became known as the hyperspace selection problem. The present paper contains some aspects of this problem, along with several open questions. Most of these considerations and questions are related to the usual map extension problem, but now in the setting of hyperspaces and hyperspace selections. |
| title | Extension of Hyperspace Selections |
| topic | General Topology Primary 54B20, 54C20, 54C65, 54D15, 54F05, 54F45, 54F65, Secondary 54D20, 54D45, 54D55, 54G05, 54G12, 05C20, 05C21 |
| url | https://arxiv.org/abs/2310.19085 |