Variable Dimension Complexes, Part II (Classic Reprint)

Language: English

Published by Forgotten Books, 2024

1332286445 / 9781332286447

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Print on Demand. This book provides constructive algorithms in combinatorial topology. It presents a unified approach to several combinatorial lemmas used in many branches of pure and applied mathematics. The author uses the path-following theory of labelled V-complexes to construct combinatorial proofs of a variety of combinatorial lemmas in topology. The book goes on to demonstrate two new dual lemmas on the n-dimensional cube, and uses a Generalized Sperner Lemma to prove a generalization of the Knasterâ€"Kuratowskiâ€"Mazurkiewicz Covering Lemma on the simplex. The author also shows that Tucker's lemma can be derived directly from the Borsakâ€"Ulam Theorem, and reports the interrelationships between these results, Brouwer’s Fixed Point Theorem, the Borsakâ€"Ulam Theorem, the existence of stationary points on the simplex, and two new theorems on the simplex relating to the Generalized Covering Theorem. The book is of interest to researchers in the fields of topology, optimization, game theory, and mathematical economics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332286447_0

Title
Variable Dimension Complexes, Part II (Classic Reprint)
Author
Robert M. Freund
Publisher
Forgotten Books
Publication year
2024
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1332286445
ISBN 13
9781332286447
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

5-star seller

AbeBooks seller since June 2, 2021

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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