The natural operators lifting projectable vector fields to some fiber product preserving bundles
نویسندگان
چکیده
منابع مشابه
Lifting retracted diagrams with respect to projectable functors
We prove a general categorical theorem that enables us to state that under certain conditions, the range of a functor is large. As an application, we prove various results of which the following is a prototype: If every diagram, indexed by a lattice, of finite Boolean 〈∨, 0〉-semilattices with 〈∨, 0〉-embeddings, can be lifted with respect to the Conc functor on lattices, then so can every diagra...
متن کاملLifting retracted diagrams with respect to projectable functors
We prove a general categorical theorem that enables us to state that under certain conditions, the range of a functor is large. As an application, we prove various results of which the following is a prototype: If every diagram, indexed by a lattice, of finite Boolean 〈∨, 0〉-semilattices with 〈∨, 0〉-embeddings, can be lifted with respect to the Conc functor on lattices, then so can every diagra...
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Using the description of a fiber product preserving bundle functor F in terms of Weil algebras, we deduce several geometric properties of the Fprolongations of principal and associated bundles. Then we clarify that the flow prolongation with respect to F of a projectable vector field can be constructed by using a natural morphism.
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2003
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap81-3-4