Отправить статью по E-mail An intermediate value theorem for face polytopes
- Авторы: Matveev M.1
-
Учреждения:
- Moscow Institute of Physics and Technology
- Выпуск: Том 37, № 3 (2016)
- Страницы: 307-315
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197751
- DOI: https://doi.org/10.1134/S1995080216030173
- ID: 197751
Цитировать
Открытый доступ
Доступ предоставлен
Только для подписчиков
Аннотация
The paper proves a theorem on polytopal fans and face polytopes that can be treated as an intermediate value theorem for face polytopes. According to this theorem if all fans FS obtained from a fan F by replacing one of its cones K with a subdivision S of K in some set H are polytopal, then the fan F is polytopal as well. Moreover, if PS, S ∈ H, are arbitrary face polytopes of the fans FS, then some positive combination of PS, S ∈ H, is a face polytope of the fan F. The reverse of the theorem is not true.
Ключевые слова
Об авторах
M. Matveev
Moscow Institute of Physics and Technology
Автор, ответственный за переписку.
Email: miklem@mail.mipt.ru
Россия, Institutskii per. 9, Dolgoprudny, 141700
