Limites projectives fortes d'alg\'ebro\"ides de Lie
Patrick Cabau
TL;DR
This paper introduces the concept of strong projective limits of Banach Lie algebroids, exploring their structures and compatibility, providing a flexible framework for complex geometric and algebraic applications.
Contribution
It defines and studies strong projective limits of Banach Lie algebroids, a novel framework for analyzing complex geometric structures.
Findings
Established the notion of strong projective limits for Banach Lie algebroids
Analyzed the associated structures of Fréchet bundles
Demonstrated the compatibility with morphisms
Abstract
We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fr\'{e}chet bundles and the compatibility with the different morphisms. This kind of structure seems to be a convenient framework for various situations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic Geometry and Number Theory