Limits of manifolds in the Gromov-Hausdorff metric space

We apply the Gromov-Hausdorff metric \(d_G\) for characterization of certain generalized manifolds. Previously, we have proved that with respect to the metric \(d_G,\) generalized \(n\)-manifolds are limits of spaces which are obtained by gluing two topological \(n\)-manifolds by a controlled homoto...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2023-01
Hauptverfasser:	Hegenbarth, Friedrich, Repovš, Dušan D
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Topology Mathematics - Differential Geometry Mathematics - Geometric Topology Metric space Topology
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!