TL;DR
This paper explores conditions under which the idempotent barycenter map forms a trivial bundle with Hilbert cube fibers, focusing on points with trivial fibers in the context of idempotent measures.
Contribution
It provides new insights into the topological structure of the idempotent barycenter map, particularly identifying when it constitutes a trivial bundle.
Findings
Characterization of trivial bundle conditions
Identification of Hilbert cube fibers in the barycenter map
Analysis of points with trivial fibers
Abstract
We investigate when the idempotent barycenter map restricted to the points with no-trivial fibers is a trivial bundle with the fiber Hilbert cube.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Topics in Algebra · Advanced Algebra and Geometry