Topological transversals to a family of convex sets
β Scribed by L. Montejano; R. N. Karasev
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 601 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Classical digital geometry deals with sets of cubical voxels (or square pixels) that can share faces, edges, or vertices, but basic parts of digital geometry can be generalized to sets S of convex voxels (or pixels) that can have arbitrary intersections. In particular, it can be shown that if each v
Main Theorem: Let C be an infinite-dimensional convex set in a FrΓ©chet space. If C has an almost internal point, then for every compact subset K of the completion Ten corollaries are derived from this theorem. Among them there are (1) conditions under which two convex sets with almost internal poin