Embeddings in Manifolds (Graduate Studies in Mathematics)
Robert J. Daverman And Gerard A. Venema
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Description for Embeddings in Manifolds (Graduate Studies in Mathematics)
Hardcover. Analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. This book offers description of the various classic examples of wild embeddings. It provides details of the codimension-three proofs, including the requisite piecewise linear tools. Series: Graduate Studies in Mathematics. Num Pages: 474 pages, Illustrations. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 257 x 183 x 31. Weight in Grams: 1034.
A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding ... Read more
A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
474
Place of Publication
Providence, United States
ISBN
9780821836972
SKU
V9780821836972
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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