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＜E-Book＞
Link Theory in Manifolds / by Uwe Kaiser
(Lecture Notes in Mathematics. ISSN:16179692 ; 1669)

Edition	1st ed. 1997.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1997
Language	English
Size	XIV, 170 p : online resource
Authors	*Kaiser, Uwe author SpringerLink (Online service)
Subjects	LCSH:Algebraic topology LCSH:Manifolds (Mathematics) LCSH:Topology FREE:Algebraic Topology FREE:Manifolds and Cell Complexes FREE:Topology
Notes	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 in Betti-trivial 3-manifolds -- 3-dimensional Betti-trivial submanifolds 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 HTTP:URL=https://doi.org/10.1007/BFb0092686

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