Boundaries of \(\pi_ 1\)-injective surfaces

DOI10.1016/S0166-8641(96)00124-1zbMath0879.57014WikidataQ114121891 ScholiaQ114121891MaRDI QIDQ1361377

Ulrich Oertel

Publication date: 23 July 1997

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Dehn fillingbranched surfacesboundary slopesincompressible surfacesirreducible 3-manifoldinjective surfaces

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items

BOUNDARY SLOPES OF IMMERSED SURFACES IN HAKEN MANIFOLDS ⋮ A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds ⋮ Incompressible maps of surfaces and Dehn filling. ⋮ Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds ⋮ On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds ⋮ A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus ⋮ Boundary curves of surfaces with the 4--plane property ⋮ Bounds on exceptional Dehn filling

Cites Work

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• The simple loop conjecture
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• The classification of maps of surfaces
• Expanding attractors