| [7] | Katsumasa, Roff and Yoshinaga. Is magnitude 'generically continuous' for finite metric spaces?
arXiv:2501.08745, 2025 |
| [6] | Hepworth and Roff. Bigraded path homology and the magnitude-path spectral sequence.
arXiv:2404.06689, 2024 |
| [5] | Roff and Yoshinaga. The small-scale limit of magnitude and the one-point property.
arXiv:2312.14497; Bulletin of the London Mathematical Society, DOI: 10.1112/blms.70064, 2025 |
| [4] | Hepworth and Roff. The reachability homology of a directed graph.
arXiv:2312.01378; International Mathematics Research Notices, 2025(3):1–18, 2025 |
| [3] | Roff. Iterated magnitude homology.
arXiv:2309.00577; Advances in Mathematics, 468(2025):110210, 2025 |
| [2] | Roff. Magnitude, homology, and the Whitney twist.
arXiv:2211.02520; Homology, Homotopy and Applications, 25(1):105–130, 2024 |
| [1] | Leinster and Roff. The maximum entropy of a metric space.
arXiv:1908.11184; The Quarterly Journal of Mathematics, 72(4):1271–1309, 2021 |
| [0] | Roff. The size and shape of things: magnitude, diversity, homology. PhD thesis, University of Edinburgh, 2022
This contains all of the material in [1], most of [2] and some of [3], plus a chapter discussing alternative ways to extend magnitude homology from finite to infinite metric spaces. |