Intersection theory for ergodic solenoids
Vicente Mu\~noz, Ricardo Perez-Marco
TL;DR
This paper develops an intersection theory for ergodic solenoids, extending the mathematical framework for analyzing their interactions and properties in a rigorous way.
Contribution
It introduces a new intersection theory specifically for immersed, oriented, and measured ergodic solenoids, building upon previous foundational work.
Findings
Provides a formal mathematical framework for intersection theory of ergodic solenoids.
Extends existing theories to include measured and oriented solenoids.
Lays groundwork for future research in dynamical systems and topology involving solenoids.
Abstract
We develop the intersection theory associated to immersed, oriented and mea- sured solenoids, which were introduced in arXiv:0910.2836.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Geometric and Algebraic Topology