Vertical functors on fibered manifolds
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Vertical functors on fibered manifolds
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
ISSN
0926-2245
e-ISSN
1872-6984
Volume of the periodical
54
Issue of the periodical within the volume
A
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
100-110
UT code for WoS article
000412256400011
EID of the result in the Scopus database
2-s2.0-85016435135