Collapsing three-dimensional Alexandrov spaces with boundary
Ayato Mitsuishi, Takao Yamaguchi
TL;DR
This paper classifies the topologies of three-dimensional compact Alexandrov spaces with boundary that are collapsing, extending previous work to include boundary cases.
Contribution
It provides a complete topological classification of collapsing 3D Alexandrov spaces with boundary, advancing understanding of their geometric structure.
Findings
Topological types identified for collapsing spaces
Extension of classification to spaces with boundary
New insights into boundary effects on collapse
Abstract
As a continuation of [MY], we determine the topologies of collapsing three-dimensional compact Alexandrov spaces with nonempty boundary.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Topological and Geometric Data Analysis