On principal connection like bundles. (English) Zbl 1349.58002

Mikulski, Włodzimierz M.

Czech. Math. J. 64, No. 4, 961-967 (2014).

Let \(\mathcal{PB}_m\) be the category of all principal fibred bundles with \(m\)-dimensional bases and their principal bundle homomorphisms covering embeddings. The author introduces the concepts of \((r,m)\)-system and product-preserving \((r,m)\)-system. All gauge bundle functors (eventually all fiber product preserving gauge bundle functors) on \(\mathcal{PB}_m\) of order \(r\) are described by means of the \((r,m)\)-systems (eventually by means of the product-preserving \((r,m)\)-systems).

Reviewer: Josef Janyška (Brno)

MSC:

58A05	Differentiable manifolds, foundations
58A20	Jets in global analysis
58A32	Natural bundles

Keywords:

principal bundle; principal connection; gauge bundle functor; natural transformation

References:

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