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Decompositions of Manifolds
Robert J. Daverman, University of Tennessee, Knoxville, TN
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AMS Chelsea Publishing
1986; 317 pp; hardcover
Volume: 362
ISBN-10: 0-8218-4372-9
ISBN-13: 978-0-8218-4372-7
List Price: US$51
Member Price: US$45.90
Order Code: CHEL/362.H
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See also:

Embeddings in Manifolds - Robert J Daverman and Gerard A Venema

Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.

Readership

Graduate students and research mathematicians interested in geometric topology.

Reviews

"Throughout the text, at the end of paragraphes, there are exercises, problems and (open) questions, ranging from simple to quite challenging. This is the second edition of an excellent textbook, a contribution to the mathematical literature concerning decompositions of manifolds, a text deserving further individual pursuit and a substantial background for successfully doing research in this area."

-- Zentralblatt MATH

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