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Variable Dimension Complexes Vol by Robert Freund (5 results)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Variable Dimension Complexes, Vol 1 Basic Theory Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
US$ 24.35
US$ 4.46 shipping
Ships from United Kingdom to U.S.A.Quantity: 15 available
Add to basketPAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Variable Dimension Complexes, Vol 1 Basic Theory Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
US$ 31.21
US$ 5.64 shipping
Ships from United Kingdom to U.S.A.Quantity: 15 available
Add to basketHRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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US$ 17.55
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Add to basketPaperback. Condition: New. Print on Demand. This book introduces Variable-Dimension Complexes (V-Complexes). V-Complexes are employed in the study of combinatorial optimization problems that depend on many parameters. The author restricts their research to finite V-complexes, known as simplicial pivoting algorithms. In Part I of this book, the author establishes the theoretical foundations for V-complexes. In Part II, the author provides constructive, algorithmic proofs of a variety of combinatorial lemmas in topology, including Sperner's lemma, Kuhn's lemma, Scarf's dual Sperner lemma, a generalized Sperner lemma, Tucker's lemma, Gale's hex theorem, and two new dual lemmas on the cube. The relationships between these results, Brouwer's fixed point theorem, the Borsuk-Ulam theorem, and a new set-covering theorem on the simplex are also explored. These results provide valuable insights into the combinatorial nature of variable dimension algorithms and demonstrate their wide applicability in solving problems in a variety of fields, including optimization, game theory, and topology. 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. print-on-demand item.
