On families in differential geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F13%3A%230000394" target="_blank" >RIV/47813059:19610/13:#0000394 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/doi/abs/10.1142/S0219887813500424" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0219887813500424</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887813500424" target="_blank" >10.1142/S0219887813500424</a>
Alternative languages
Result language
angličtina
Original language name
On families in differential geometry
Original language description
Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for families of geometrical quantities is presented here, which allows one to work without introducing ad hoc spaces, by using the language of differential calculus over commutative algebras. An advantage of such an approach, based on the notion of sliceable structures on cylinders, is that the fundamental theorems of standard calculusare straightforwardly generalized to the context of families. As an example of that, we prove the universal homotopy formula.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Geometric Methods in Modern Physics
ISSN
0219-8878
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
9
Country of publishing house
SG - SINGAPORE
Number of pages
23
Pages from-to
"1350042-1"-"1350042-23"
UT code for WoS article
000324251100008
EID of the result in the Scopus database
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