Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions

Abstract

We give examples of open 3-manifolds and 3-orbifolds that exhibit pathological behavior with respect to splitting along surfaces (2-suborbifolds) with nonnegative Euler characteristic.

17 pages, 5 figures

References in corpus (4)

• Ricci flow with surgery on three-manifolds
• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Tameness of hyperbolic 3-manifolds
• A JSJ splitting for triangulated open 3-manifolds

Cited by in corpus (4)

• Ricci flow on open 3-manifolds and positive scalar curvature
• A JSJ splitting for triangulated open 3-manifolds
• One-ended 3-manifolds without locally finite toric decompositions
• Scalar Curvature on some Open 3-Manifolds