02851nam 2200637 450 99646637520331620240206163802.03-540-49181-310.1007/BFb0074005(CKB)1000000000437197(SSID)ssj0000327324(PQKBManifestationID)12081539(PQKBTitleCode)TC0000327324(PQKBWorkID)10301602(PQKB)11774984(DE-He213)978-3-540-49181-1(MiAaPQ)EBC5591460(Au-PeEL)EBL5591460(OCoLC)1066182484(MiAaPQ)EBC6842182(Au-PeEL)EBL6842182(OCoLC)1293260233(PPN)155163728(EXLCZ)99100000000043719720220911d1995 uy 0engurnn#008mamaatxtccrTopology and combinatorics Of 3-manifolds /Klaus Johannson1st ed. 1995.Berlin, Germany :Springer-Verlag,[1995]©19951 online resource (XVIII, 450 p.)Lecture Notes in Mathematics ;1599Bibliographic Level Mode of Issuance: Monograph3-540-59063-3 Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs.This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial structure but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds.Lecture notes in mathematics (Springer-Verlag) ;1599.Three-manifolds (Topology)Manifolds (Mathematics)Algebraic topologyThree-manifolds (Topology)Manifolds (Mathematics)Algebraic topology.514.3Johannson Klaus1948-57676MiAaPQMiAaPQMiAaPQBOOK996466375203316Topology and combinatorics of 3-manifolds78145UNISA