Gromov-Hausdorff convergence to nonmanifolds
Copyright policy )Gromov-Hausdorff convergence to nonmanifolds
We construct sequences of 7-spheres in Gromov-Hausdorff space converging to non-manifolds. The manifolds in these sequences have a common contractibility function. There are two main classes of examples -- examples for which the limit is an infinite dimensional space of finite cohomological dimension and examples for which the limit is a finite- dimensional ANR homology manifold.
- Ithaca College United States
Cellularity in topological manifolds, sequences of 7-spheres in Gromov-Hausdorff space, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, cohomological dimension, Dimension theory in algebraic topology, Math Subject Classification: 57N60, contractibility function, infinite dimensional space of finite cohomological dimension, 53C23, Gromov-Hausdorff convergence, homology manifold, 55M10, cell-like map, Generalized manifolds
Cellularity in topological manifolds, sequences of 7-spheres in Gromov-Hausdorff space, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, cohomological dimension, Dimension theory in algebraic topology, Math Subject Classification: 57N60, contractibility function, infinite dimensional space of finite cohomological dimension, 53C23, Gromov-Hausdorff convergence, homology manifold, 55M10, cell-like map, Generalized manifolds
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!