On orthogonal and staircase connectedness in the plane
Abstract In this paper, we introduce o ‐extreme points defined by using orthogonal paths in orthogonally connected sets. We investigate their properties and obtain Minkowski‐type theorems involving orthogonally connected sets. Using o ‐extreme points, we give some characterizations of staircase connectedness.
Authors
- Julia Q. D. Du
- Tudor Zamfirescu
- Liping Yuan (ORCID: https://orcid.org/0000-0002-4428-4485)
Institutions
- TU Dortmund University (DE)
- Romanian Academy (RO)
- Hebei Normal University (CN)
Publication Details
- Journal
- Mathematika
- Published
- 2025-04-29
- DOI
- https://doi.org/10.1112/mtk.70021
- Primary Topic
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Scholarship Council