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Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

www.group-telegram.com/us/sweet_homotopy.com/1960

1.7K viewsMar 18 at 21:51

group-telegram.com/sweet_homotopy/1960

Create: 2024-03-18
Last Update: 2024-12-28 13:58:26

Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

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Date: 2024-12-28|

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