Editorial remark: This paper is published in IJPAM, vol. 82, No. 2 (2013), see https://ijpam.eu/contents/2013-82-2/index.html. Therefore it is RETRACED from vol. 82, No. 3 (2013). We apologize to authors and readers for any inconveniences caused as a result of this misplaced of the papers.

Abstract. This paper is the sequel to our previous paper (Differetial Geometry of Microlinear Frölicher spaces IV-1), where three approaches to jet bundles are presented and compared. The first objective in this paper is to give the affine bundle theorem for the second and third approaches to jet bundles. The second objective is to deal with the three approaches to jet bundles in the context where coordinates are available. In this context all the three approaches are shown to be equivalent.

Received: November 6, 2012

AMS Subject Classification: 58A05, 58A20

Key Words and Phrases: Frölicher space, jets, microlinearity, affine bundle theorem

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