This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem ... |
This book aims at making elementary topological methods more easily accessible to nonspecialists in topology. It covers a number of substantial combinatorial ... |
Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry Книга, Иржи Матоушек |
It describes the use of results in topology, and in particular the Borsuk–Ulam theorem, to prove theorems in combinatorics and discrete geometry. It was written ... |
Proved by Lovász (1978) using the. Borsuk-Ulam Theorem. n k. The fractional chromatic number gives the very weak lower bound χ(KG. |
It covers a number of substantial results proved by topological methods, and at the same time, it introduces the required material from algebraic topology. |
The Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point. |
This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem ... |
25 сент. 2017 г. · The Borsuk-Ulam theorem with various generalizations and many proofs is one of the most useful theorems in algebraic topology. |
Then there are two antipodal points on the earth with the same temperature and pressure. The following celebrated theorem is implied by the Borsuk-Ulam Theorem. |
If we want to apply the Borsuk-Ulam theorem to some problem, we need to exhibit a continuous map of a sphere that somehow reflects the problem's structure. In ... |
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