Displaying similar documents to “Properties of product preserving functors”

Fiber product preserving bundle functors on all morphisms of fibered manifolds

Ivan Kolář, Włodzimierz M. Mikulski (2006)

Archivum Mathematicum

Similarity:

We describe the fiber product preserving bundle functors on the category of all morphisms of fibered manifolds in terms of infinite sequences of Weil algebras and actions of the skeleton of the category of r -jets by algebra homomorphisms. We deduce an explicit formula for the iteration of two such functors. We characterize the functors with values in vector bundles.

On principal connection like bundles

Włodzimierz M. Mikulski (2014)

Czechoslovak Mathematical Journal

Similarity:

Let 𝒫 ℬ m be the category of all principal fibred bundles with m -dimensional bases and their principal bundle homomorphisms covering embeddings. We introduce the concept of the so called ( r , m ) -systems and describe all gauge bundle functors on 𝒫 ℬ m of order r by means of the ( r , m ) -systems. Next we present several interesting examples of fiber product preserving gauge bundle functors on 𝒫 ℬ m of order r . Finally, we introduce the concept of product preserving ( r , m ) -systems and describe all fiber product preserving...