The category of Z-graded manifolds: What happens if you do not stay positive
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50023089" target="_blank" >RIV/62690094:18470/24:50023089 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0926224524000020?pes=vor&utm_source=clarivate&getft_integrator=clarivate" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0926224524000020?pes=vor&utm_source=clarivate&getft_integrator=clarivate</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.difgeo.2024.102109" target="_blank" >10.1016/j.difgeo.2024.102109</a>
Alternative languages
Result language
angličtina
Original language name
The category of Z-graded manifolds: What happens if you do not stay positive
Original language description
In this paper we discuss the categorical properties of Z-graded manifolds. We start by describing the local model paying special attention to the differences in comparison to the N-graded case. In particular we explain the origin of formality for the functional space and spell-out the structure of the power series. Then we make this construction intrinsic using a new type of filtrations. This sums up to proper definitions of objects and morphisms in the category. We also formulate the analog of the Borel's lemma for the functional spaces on Z-graded manifolds and the analogue of Batchelor's theorem for the global structure of them. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
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
93
Issue of the periodical within the volume
April
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
"Article Number: 102109"
UT code for WoS article
001178233200001
EID of the result in the Scopus database
2-s2.0-85184068176