Мақаланы E-mail арқылы жіберу An intermediate value theorem for face polytopes
- Авторлар: Matveev M.1
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Мекемелер:
- Moscow Institute of Physics and Technology
- Шығарылым: Том 37, № 3 (2016)
- Беттер: 307-315
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197751
- DOI: https://doi.org/10.1134/S1995080216030173
- ID: 197751
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
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.
Негізгі сөздер
Авторлар туралы
M. Matveev
Moscow Institute of Physics and Technology
Хат алмасуға жауапты Автор.
Email: miklem@mail.mipt.ru
Ресей, Institutskii per. 9, Dolgoprudny, 141700
