Weak topology on CAT(0) spaces
Alexander Lytchak, Anton Petrunin
TL;DR
This paper investigates the concept of weak convergence in CAT(0) spaces, exploring the existence and characteristics of weak topologies to deepen understanding of geometric analysis in these non-positive curvature spaces.
Contribution
It introduces and analyzes weak topologies on CAT(0) spaces, providing foundational insights into their properties and implications for geometric analysis.
Findings
Weak convergence characterized in CAT(0) spaces
Existence of weak topologies established
Properties of weak topologies analyzed
Abstract
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topology and Set Theory · Approximation Theory and Sequence Spaces