Fiber product preserving bundle functors as modified vertical Weil functors

Title:

Fiber product preserving bundle functors as modified vertical Weil functors

Creator:

Mikulski , Włodzimierz M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:63844e94-6e92-443f-92e2-c64dd6efacfb
uuid:63844e94-6e92-443f-92e2-c64dd6efacfb
issn:0011-4642

Subject:

matematika, mathematics, Weil algebra, Weil functor, vertical Weil functor, Weil algebra bundle functor, modified Weil functor, modified vertical Weil functor, bundle functor, fiber product preserving bundle functor, natural transformation, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We introduce the concept of modified vertical Weil functors on the category \mathcal{F}\mathcal{M}_m of fibred manifolds with m-dimensional bases and their fibred maps with embeddings as base maps. Then we describe all fiber product preserving bundle functors on \mathcal{F}\mathcal{M}_m in terms of modified vertical Weil functors. The construction of modified vertical Weil functors is an (almost direct) generalization of the usual vertical Weil functor. Namely, in the construction of the usual vertical Weil functors, we replace the usual Weil functors T^{a} corresponding to Weil algebras A by the so called modified Weil functors T^{a} corresponding to Weil algebra bundle functors A on the category \mathcal{F}\mathcal{M}_m of m-dimensional manifolds and their embeddings., Włodzimierz M. Mikulski., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

517-528

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:2

Harvested from:

CDK

Metadata only:

false