Embedding coverings into bundles with applications / [electronic resource] P.F. Duvall and L.S. Husch.

By: Duvall, P. F. (Paul F.), 1941-Contributor(s): Husch, L. S. (Lawrence S.), 1942-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 263Publication details: Providence, R.I. : American Mathematical Society, 1982Description: 1 online resource (iv, 53 p. : ill.)ISBN: 9781470406707 (online)Subject(s): Manifolds (Mathematics) | Topological imbeddings | Vector bundles | Shape theory (Topology)Additional physical formats: Embedding coverings into bundles with applications /DDC classification: 510 s | 514/.3 LOC classification: QA3 | .A57 no. 263 | QA613Online resources: Contents | Contents
Contents:
Introduction Part I. Embedding finite covers into bundles 1. Removing singularities of maps 2. Singularities of maps into bundles 3. Embedding covering spaces into bundles 4. The obstruction Part II. Embedding manifold-like continua up to shape 5. Applications of Part I to embedding continua up to shape 6. An $n$-manifold-like compactum which does not embed up to shape in $\mathbb {R}^{2n}$ 7. Singularities of coverings of immersions 8. Embedding up to shape manifold-like continua whose factors need not embed 9. Embedding double coverings 10. An example 11. $n$-manifold-like continua which do not embed up to shape in $\mathbb {R}^{2n}$
Item type: E-BOOKS
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Includes bibliographical references.

Introduction Part I. Embedding finite covers into bundles 1. Removing singularities of maps 2. Singularities of maps into bundles 3. Embedding covering spaces into bundles 4. The obstruction Part II. Embedding manifold-like continua up to shape 5. Applications of Part I to embedding continua up to shape 6. An $n$-manifold-like compactum which does not embed up to shape in $\mathbb {R}^{2n}$ 7. Singularities of coverings of immersions 8. Embedding up to shape manifold-like continua whose factors need not embed 9. Embedding double coverings 10. An example 11. $n$-manifold-like continua which do not embed up to shape in $\mathbb {R}^{2n}$

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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