Weak, strong and mixed extensions of relations to spaces of ultrafilters
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915930022346752 |
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| author | Gasparro, Leonardo Raffaello Maximilian Baglini, Lorenzo Luperi |
| author_facet | Gasparro, Leonardo Raffaello Maximilian Baglini, Lorenzo Luperi |
| contents | The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers. We show that similar methods can be used to characterize the extensions of arbitrary realtions and their interplay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04692 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak, strong and mixed extensions of relations to spaces of ultrafilters Gasparro, Leonardo Raffaello Maximilian Baglini, Lorenzo Luperi Logic Primary: 54D80. Secondary: 03H15 The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers. We show that similar methods can be used to characterize the extensions of arbitrary realtions and their interplay. |
| title | Weak, strong and mixed extensions of relations to spaces of ultrafilters |
| topic | Logic Primary: 54D80. Secondary: 03H15 |
| url | https://arxiv.org/abs/2506.04692 |