The intrinsic topology of linear maps
Quan Xu
TL;DR
This paper claims to prove the Jacobian conjecture for all real Keller maps in any dimension by analyzing the intrinsic topology of linear maps and demonstrating their injectivity.
Contribution
It provides a complete proof of the Jacobian conjecture using intrinsic topology analysis of linear maps.
Findings
Proof of the Jacobian conjecture for all real Keller maps
Demonstration of injectivity of linear maps in the context of the conjecture
New topological approach to understanding linear maps
Abstract
Based on many experts' former work in the Jacobian conjecture and an essential analysis of intrinsic topology of linear maps, I completely prove the Jacobian conjecture by demonstrating the injectivity of real Keller map of any -dimensions.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology