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Gluing constructions for Lorentzian length spaces

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Bibliographic Details
Main Authors: Tobias, Beran, Felix, Rott
Format: Book
Language:English
Published: Springer 2023
Subjects:
gluing theorem of Reshetnyak
CAT(k) spaces
Online Access:https://link.springer.com/article/10.1007/s00229-023-01469-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537
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spelling oai:localhost:PNK-75372023-04-05T03:08:53Z Gluing constructions for Lorentzian length spaces Tobias, Beran Felix, Rott gluing theorem of Reshetnyak CAT(k) spaces CC BY We introduce an analogue to the amalgamation of metric spaces into the setting of Lorentzian pre-length spaces. This provides a very general process of constructing new spaces out of old ones. The main application in this work is an analogue of the gluing theorem of Reshetnyak for CAT(k) spaces, which roughly states that gluing is compatible with upper curvature bounds. Due to the absence of a notion of spacelike distance in Lorentzian pre-length spaces we can only formulate the theorem in terms of (strongly causal) spacetimes viewed as Lorentzian length spaces. 2023-04-05T03:08:53Z 2023-04-05T03:08:53Z 2023 Book https://link.springer.com/article/10.1007/s00229-023-01469-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic gluing theorem of Reshetnyak
CAT(k) spaces
spellingShingle gluing theorem of Reshetnyak
CAT(k) spaces
Tobias, Beran
Felix, Rott
Gluing constructions for Lorentzian length spaces
description CC BY
format Book
author Tobias, Beran
Felix, Rott
author_facet Tobias, Beran
Felix, Rott
author_sort Tobias, Beran
title Gluing constructions for Lorentzian length spaces
title_short Gluing constructions for Lorentzian length spaces
title_full Gluing constructions for Lorentzian length spaces
title_fullStr Gluing constructions for Lorentzian length spaces
title_full_unstemmed Gluing constructions for Lorentzian length spaces
title_sort gluing constructions for lorentzian length spaces
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00229-023-01469-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7537
_version_ 1762365499935555584
score 8.891145

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