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The endpoint theorem

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dc.contributor.authorScott, Susan M.
dc.contributor.authorWhale, Ben
dc.date.accessioned2023-05-04T04:19:43Z
dc.date.issued2021
dc.date.updated2022-02-13T07:17:18Z
dc.description.abstractThe endpoint theorem links the existence of a sequence (curve), without accumulation points, in a manifold to the existence of an open embedding of that manifold so that the image of the given sequence (curve) has a unique endpoint. It plays a fundamental role in the theory of the abstract boundary as it implies that there is always an abstract boundary point to represent the endpoint of such sequences and curves. The endpoint theorem will be of interest to researchers analysing specific spacetimes as it shows how to construct a chart in the original manifold which contains the sequence (curve). In particular, it has application to the study of singularities predicted by the singularity theorems.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0264-9381en_AU
dc.identifier.urihttp://hdl.handle.net/1885/289868
dc.language.isoen_AUen_AU
dc.publisherInstitute of Physics Publishingen_AU
dc.rights© 2021 IOP Publishing Ltden_AU
dc.sourceClassical and Quantum Gravityen_AU
dc.subjectsequenceen_AU
dc.subjectaccumulation pointen_AU
dc.subjectendpointen_AU
dc.subjectembeddingen_AU
dc.subjectenvelopmenten_AU
dc.subjectabstract boundaryen_AU
dc.subjectsingularity theoremsen_AU
dc.titleThe endpoint theoremen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue6en_AU
local.bibliographicCitation.lastpage10en_AU
local.bibliographicCitation.startpage1en_AU
local.contributor.affiliationScott, Susan, College of Science, ANUen_AU
local.contributor.affiliationWhale, Ben, College of Science, ANUen_AU
local.contributor.authoruidScott, Susan, u8911327en_AU
local.contributor.authoruidWhale, Ben, u4041897en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor510105 - General relativity and gravitational wavesen_AU
local.identifier.absseo280120 - Expanding knowledge in the physical sciencesen_AU
local.identifier.ariespublicationa383154xPUB18035en_AU
local.identifier.citationvolume38en_AU
local.identifier.doi10.1088/1361-6382/abe1feen_AU
local.identifier.scopusID2-s2.0-85102355490
local.publisher.urlhttps://iopscience.iop.org/en_AU
local.type.statusPublished Versionen_AU

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