Linear Geometry: flats, ranks, regularity, parallelity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917387264065536 |
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| author | Banakh, Taras Hetman, Ivan Ravsky, Alex Pshyk, Vlad |
| author_facet | Banakh, Taras Hetman, Ivan Ravsky, Alex Pshyk, Vlad |
| contents | Linear Geometry describes geometric properties that depend on the fundamental notion of a line. In this paper we survey basic notions and results of Linear Geomery that depend on the flat hulls: flats, exchange, rank, regularity, modularity, and parallelity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear Geometry: flats, ranks, regularity, parallelity Banakh, Taras Hetman, Ivan Ravsky, Alex Pshyk, Vlad History and Overview Metric Geometry 51A05, 51A15 Linear Geometry describes geometric properties that depend on the fundamental notion of a line. In this paper we survey basic notions and results of Linear Geomery that depend on the flat hulls: flats, exchange, rank, regularity, modularity, and parallelity. |
| title | Linear Geometry: flats, ranks, regularity, parallelity |
| topic | History and Overview Metric Geometry 51A05, 51A15 |
| url | https://arxiv.org/abs/2511.19455 |