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Betti numbers and scalar inequalities

✍ Scribed by Shûkichi Tanno


Publisher
Springer
Year
1970
Tongue
English
Weight
588 KB
Volume
190
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES


Decision Tree Complexity and Betti Numbe
✍ Andrew Chi-Chih Yao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 381 KB

We show that any algebraic computation tree or any fixed-degree algebraic tree for solving the membership question of a compact set S R n must have height greater than 0(log(; i (S)))&cn for each i, where ; i (S) is the ith Betti number. This generalizes a well-known result by Ben-Or who proved this