A normal pseudomanifold is a pseudomanifold in which the links of simplices are also pseudomanifolds. So, a normal 2-pseudomanifold triangulates a connected closed 2-manifold. But, normal -pseudomanifolds form a broader class than triangulations of connected closed -manifolds for . Here, we classify all…
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4 results for “3-pseudomanifolds”
New hyperbolic 3-pseudomanifolds with unique properties.
problem Understanding cubulable groups in hyperbolic 3-manifolds.
method Constructing compact hyperbolic 3-manifolds with specific boundary conditions.
result Found groups that are word hyperbolic but not cubulable.
We extend average edge order results to normal 3-pseudomanifolds.
problem Determining the average edge order of normal 3-pseudomanifolds.
method Extending previous results on 3-manifolds to 3-pseudomanifolds with singularities.
result For a normal 3-pseudomanifold , , with equality if and only if is a specific triangulation of .
The study characterizes 3-pseudomanifolds with up to two singularities.
problem Characterizing face-number-related invariants of normal 3-pseudomanifolds with up to two singularities.
method Proves properties of normal 3-pseudomanifolds using specific operations and upper bounds.
result Proves that normal 3-pseudomanifolds with up to two singularities are constructed from boundary complexes of 4-simplices.