Ultralimits

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Ultralimits provide a very general way to pass to a limit. This procedure works for any sequence of metric spaces, its result reminds limit in the sense of Gromov–Hausdorff, but has some strange features; for example, the limit of a constant sequence of spaces Xn= X is not X in general (see 6.13(b)).

Original languageEnglish (US)
Title of host publicationSpringerBriefs in Mathematics
PublisherSpringer Science and Business Media B.V.
Pages55-63
Number of pages9
DOIs
StatePublished - 2023

Publication series

NameSpringerBriefs in Mathematics
VolumePart F1773
ISSN (Print)2191-8198
ISSN (Electronic)2191-8201

All Science Journal Classification (ASJC) codes

  • General Mathematics

Cite this