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- catalog abstract "Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.".
- catalog contributor b10542895.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.".
- catalog description "Includes bibliographical references (p.[158]-161) and index.".
- catalog description "Link bordism in manifolds -- Enumeration of link bordism in 3-manifolds -- Linking number maps -- Surface structures for links in 3-manifolds -- Link invariants in Betti-trivial 3-manifolds -- Link characteristic and band-operations -- 3-dimensional Betti-trivial submanifolds -- Appendix -- Bibliography -- Index -- Symbol Index.".
- catalog extent "xiv, 167 p. :".
- catalog hasFormat "Link theory in manifolds.".
- catalog identifier "3540634355 (softcover : alk. paper)".
- catalog isFormatOf "Link theory in manifolds.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1669.".
- catalog isPartOf "Lecture notes in mathematics ; 1669".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Link theory in manifolds.".
- catalog subject "510 s 514/.224 21".
- catalog subject "Algebraic topology.".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Link theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1669 QA612.2".
- catalog subject "Three-manifolds (Topology)".
- catalog tableOfContents "Link bordism in manifolds -- Enumeration of link bordism in 3-manifolds -- Linking number maps -- Surface structures for links in 3-manifolds -- Link invariants in Betti-trivial 3-manifolds -- Link characteristic and band-operations -- 3-dimensional Betti-trivial submanifolds -- Appendix -- Bibliography -- Index -- Symbol Index.".
- catalog title "Link theory in manifolds / Uwe Kaiser.".
- catalog type "text".