On the fiber product preserving gauge bundle functors on vector bundles
Tom 82 / 2003
                    
                    
                        Annales Polonici Mathematici 82 (2003), 251-264                    
                                        
                        MSC: 58A05, 58A20.                    
                                        
                        DOI: 10.4064/ap82-3-6                    
                                    
                                                Streszczenie
We present a complete description of all fiber product preserving gauge bundle functors $F$ on the category ${\mathcal V}{\mathcal B}_m$ of vector bundles with $m$-dimensional bases and vector bundle maps with local diffeomorphisms as base maps. Some corollaries of this result are presented.