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Topological and Diophantine properties of lattice subset projections
Abstract
This paper uses the Baire category theorem, the Riemannian manifold structure of Grassmannians, and the Khintchine Groshev theorem in Diophantine analysis, to relate properties of lattice subsets to those of associated subset of a Grassmannian.
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BibTeX
@misc{lawton2026topological,
title = {{Topological and Diophantine properties of lattice subset projections}},
author = {Wayne M Lawton},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.01040},
eprint = {2606.01040},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.01040},
}
RIS
TY - UNPB
TI - Topological and Diophantine properties of lattice subset projections
AU - Wayne M Lawton
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2606.01040
UR - https://arxiv.org/abs/2606.01040
AB - This paper uses the Baire category theorem, the Riemannian manifold structure of Grassmannians, and the Khintchine Groshev theorem in Diophantine analysis, to relate properties of lattice subsets to those of associated subset of a Grassmannian.
ER -