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Matematicheskie Zametki, 1977, Volume 21, Issue 1, Pages 57–63 (Mi mzm7929)  
On certain properties of growth points and their application to symmetric spaces

Yu. A. Abramovich

Arkhangelsk Forestry Engineering Institute
Full-text PDF (535 kB)
Abstract: We prove the nonemptiness of a certain type of growth points and on the basis of this we construct an example of a discrete symmetric space (of sequences) which is not interval-complete, i.e., contains an order-bounded Cauchy sequence which does not have a limit.
Received: 30.12.1974
English version:
Mathematical Notes, 1977, Volume 21, Issue 1, Pages 32–35
DOI: https://doi.org/10.1007/BF02317032
Bibliographic databases:
UDC: 513
Language: Russian
Citation: Yu. A. Abramovich, “On certain properties of growth points and their application to symmetric spaces”, Mat. Zametki, 21:1 (1977), 57–63; Math. Notes, 21:1 (1977), 32–35
Citation in format AMSBIB
\Bibitem{Abr77}
\by Yu.~A.~Abramovich
\paper On certain properties of growth points and their application to symmetric spaces
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 1
\pages 57--63
\mathnet{http://mi.mathnet.ru/mzm7929}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=445269}
\zmath{https://zbmath.org/?q=an:0364.54019|0356.54027}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 1
\pages 32--35
\crossref{https://doi.org/10.1007/BF02317032}
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