Vertical functors on fibered manifolds

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F17%3APU124893" target="_blank" >RIV/00216305:26210/17:PU124893 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0926224517300323" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0926224517300323</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.difgeo.2017.03.005" target="_blank" >10.1016/j.difgeo.2017.03.005</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Vertical functors on fibered manifolds

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Vertical functors on fibered manifolds

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

ISSN

0926-2245

e-ISSN

1872-6984

Svazek periodika

54

Číslo periodika v rámci svazku

A

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

100-110

Kód UT WoS článku

000412256400011

EID výsledku v databázi Scopus

2-s2.0-85016435135