Generalized cell maps
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913664172294144 |
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| author | Islas, Carlos Ortiz, Benjamín A. Itzá Leonel, Rocío |
| author_facet | Islas, Carlos Ortiz, Benjamín A. Itzá Leonel, Rocío |
| contents | In [6] the notion of a g-cell structure was introduced as a generalization of the construction proposed by Debski and Tymchatyn to realize a certain class of topological spaces as quotient spaces of inverse limits. In [2], cell maps are defined between cell structures and showed that a cell map between two complete cell structures induces a continuous function between the spaces determined by the cell structures. In this paper, for g-cell structures, we introduce the notions of weak g-cell maps and g-cell maps. We give some conditions for weak g-cell and g-cell mappings between g-cell structures to induce continuous mappings between their corresponding spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized cell maps Islas, Carlos Ortiz, Benjamín A. Itzá Leonel, Rocío General Topology 54B15, 54B35 In [6] the notion of a g-cell structure was introduced as a generalization of the construction proposed by Debski and Tymchatyn to realize a certain class of topological spaces as quotient spaces of inverse limits. In [2], cell maps are defined between cell structures and showed that a cell map between two complete cell structures induces a continuous function between the spaces determined by the cell structures. In this paper, for g-cell structures, we introduce the notions of weak g-cell maps and g-cell maps. We give some conditions for weak g-cell and g-cell mappings between g-cell structures to induce continuous mappings between their corresponding spaces. |
| title | Generalized cell maps |
| topic | General Topology 54B15, 54B35 |
| url | https://arxiv.org/abs/2501.14126 |