Publication detail

Iteration of fiber product preserving bundle functors

DOUPOVEC, M. KOLÁŘ, I.

Czech title

Iterace funktorů zachovávajících fibrované součiny

English title

Iteration of fiber product preserving bundle functors

Type

journal article - other

Language

en

Original abstract

Using the theory of Weil algebras, we describe the composition of two product preserving bundle functors on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. Then we deduce certain interesting geometric properties of the natural transformations of some of the iterated functors.

Czech abstract

Užitím teorie weilových algeber je popsána kompozice dvou funktorů definovaných na kategorii fibrovaných variet s m rozměrnými fibry, které zachovávají fibrované součiny.

English abstract

Using the theory of Weil algebras, we describe the composition of two product preserving bundle functors on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. Then we deduce certain interesting geometric properties of the natural transformations of some of the iterated functors.

Keywords in English

Bundle functor, Weil bundle, jet bundle, natural transformation

RIV year

2001

Released

01.01.2001

ISSN

0026-9255

Journal

Monatshefte fuer Mathematik

Volume

134

Number

1

Pages count

12

BIBTEX


@article{BUT40032,
  author="Miroslav {Doupovec} and Ivan {Kolář},
  title="Iteration of fiber product preserving bundle functors",
  journal="Monatshefte fuer Mathematik",
  year="2001",
  volume="134",
  number="1",
  month="January",
  issn="0026-9255"
}