On Nondefinability of Interior-Connectedness via the Contact Relation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911682271379456 |
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| author | Gruszczyński, Rafał Menchón, Paula |
| author_facet | Gruszczyński, Rafał Menchón, Paula |
| contents | This short paper is a small contribution to the field of Boolean contact algebras. We analyze the nondefinability of the property of interior-connectedness, and we prove certain minimality conditions for algebras and spaces that can be used in demonstrating that the aforementioned property cannot be expressed by means of contact within regular closed algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Nondefinability of Interior-Connectedness via the Contact Relation Gruszczyński, Rafał Menchón, Paula General Topology Logic Rings and Algebras 03G05, 03C07 This short paper is a small contribution to the field of Boolean contact algebras. We analyze the nondefinability of the property of interior-connectedness, and we prove certain minimality conditions for algebras and spaces that can be used in demonstrating that the aforementioned property cannot be expressed by means of contact within regular closed algebras. |
| title | On Nondefinability of Interior-Connectedness via the Contact Relation |
| topic | General Topology Logic Rings and Algebras 03G05, 03C07 |
| url | https://arxiv.org/abs/2503.08691 |