On embedding curves in surfaces
Karol Borsuk (1966)
Fundamenta Mathematicae
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Displaying similar documents to “On homotopy types of 2-dimensional polyhedra”
On embedding curves in surfaces
About neighborhoods of surfaces integrally unknotted in
A. Kirkor (1974)
Fundamenta Mathematicae
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The Projection Sphere
Jonathan P. Keiter (2008)
Visual Mathematics
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Cell-like resolutions of polyhedra by special ones
Dušan Repovš, Arkady Skopenkov (2000)
Colloquium Mathematicae
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Suppose that P is a finite 2-polyhedron. We prove that there exists a PL surjective map f:Q → P from a fake surface Q with preimages of f either points or arcs or 2-disks. This yields a reduction of the Whitehead asphericity conjecture (which asserts that every subpolyhedron of an aspherical 2-polyhedron is also aspherical) to the case of fake surfaces. Moreover, if the set of points of P having a neighbourhood homeomorphic to the 2-disk is a disjoint union of open 2-disks, and every...
Involutions in mapping class groups of non-orientable surfaces.
Blazek Szepietowski (2004)
Collectanea Mathematica
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We prove that the mapping class group and the pure mapping class group of closed non-orientable surfaces with punctures are generated by involutions.
Heegaard gradient and virtual fibers.
Maher, Joseph (2005)
Geometry & Topology
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Boundary curves of surfaces with the 4--plane property.
Li, Tao (2002)
Geometry & Topology
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Close PL involutions of 3-manifolds which are conjugate by a small homeomorphism
W. Jakobsche (1983)
Fundamenta Mathematicae
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Finite presentations for the mapping class group via the ordered complex of curves.
Benvenuti, Silvia (2001)
Advances in Geometry
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On a proof of the JSJ theorem.
Costantino, F. (2002)
Rendiconti del Seminario Matematico
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Surfaces in 3-space that do not lift to embeddings in 4-space
J. Carter, Masahico Saito (1998)
Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...