Detail publikace

Vertical functors on fibered manifolds

DOUPOVEC, M. KUREK, J. MIKULSKI, W.

Originální název

Vertical functors on fibered manifolds

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The usual vertical functor V on all fibered manifold morphisms is a classical example of a fiber product preserving bundle functor. In the present paper we extend almost directly the concept of the vertical functor V to the ones of modified or generalized vertical Weil functors and using them we describe completely the fiber product preserving bundle functors on many categories of fibered manifolds. More precisely, we fix an admissible category C over manifolds and let FMC be the category of fibered manifolds with bases being C-objects and their fibered maps with base maps being C-morphisms. We introduce the concept of modified vertical Weil functor on FMC and prove that any finite order fiber product preserving regular bundle functor on FMC is isomorphic to a modified vertical Weil functor. We also study finite order regular fiber product preserving bundle functors of vertical type and describe these functors by generalized vertical Weil functors. Finally we study the iteration of finite order regular fiber product preserving bundle functors on FMC. © 2017 Elsevier B.V. All rights reserved.

Klíčová slova

Weil algebra bundle functor Modified Weil functor Modified vertical Weil functor Fiber product preserving bundle functor

Autoři

DOUPOVEC, M.; KUREK, J.; MIKULSKI, W.

Vydáno

1. 9. 2017

Nakladatel

ELSEVIER

Místo

Nizozemsko

ISSN

0926-2245

Periodikum

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Ročník

54

Číslo

A

Stát

Nizozemsko

Strany od

100

Strany do

110

Strany počet

11

URL

https://www.sciencedirect.com/science/article/pii/S0926224517300323

BibTex

@article{BUT140211,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski}",
  title="Vertical functors on fibered manifolds",
  journal="DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS",
  year="2017",
  volume="54",
  number="A",
  pages="100--110",
  doi="10.1016/j.difgeo.2017.03.005",
  issn="0926-2245",
  url="https://www.sciencedirect.com/science/article/pii/S0926224517300323"
}