Pullbacks of metric bundles and Cannon-Thurston maps
Swathi Krishna, Pranab Sardar
TL;DR
This paper investigates the properties of metric bundles and their pullbacks, focusing on the existence and characteristics of Cannon-Thurston maps, with improved exposition and clarified conditions following peer review.
Contribution
It provides a detailed analysis of pullbacks of metric bundles and establishes the equivalence of flaring conditions for metric bundles and their associated graph bundles.
Findings
Clarified the conditions for the existence of Cannon-Thurston maps.
Proved the equivalence of flaring conditions for metric and graph bundles.
Enhanced the exposition and filled gaps in previous arguments.
Abstract
In this version of the paper the exposition is improved and gaps in some of the arguments filled following referee comments. We also include an appendix explaining the equivalence of flaring conditions for a metric bundle and the canonical metric graph bundle associated to it.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Topology and Set Theory