Differential Geometry of Microlinear Frolicher Spaces IV-1
Hirokazu Nishimura

TL;DR
This paper explores three different approaches to jet bundles within the framework of microlinear Frolicher spaces, providing transformations between these approaches and setting the stage for further detailed analysis.
Contribution
It introduces three distinct methods for studying jet bundles and demonstrates how to convert between these approaches within the context of microlinear Frolicher spaces.
Findings
Three approaches to jet bundles are presented.
Transformations between approaches are established.
Foundations laid for coordinate-based equivalence in future work.
Abstract
The fourth paper of our series of papers entitled "Differential Geometry of Microlinear Frolicher Spaces is concerned with jet bundles. We present three distinct approaches together with transmogrifications of the first into the second and of the second to the third. The affine bundle theorem and the equivalence of the three approaches with coordinates are relegated to a subsequent paper.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Topology and Set Theory
