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Matematicheskie Zametki, 1998, Volume 64, Issue 3, Pages 407–413
DOI: https://doi.org/10.4213/mzm1411 (Mi mzm1411) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Subspaces of sequential spaces

V. I. Malykhin

S. Ordzhonikidze State Academy of Management
Full-text PDF (187 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1411
Abstract: It is proved that the space of continuous functions on the ordinary closed interval with the topology of pointwise convergence is not subsequential. In sequential spaces satisfying certain conditions, subspaces dense-in-themselves without convergent sequences are found; such subspaces are constructed in certain sequential compact spaces and semitopological groups.
Received: 02.03.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 3, Pages 351–356
DOI: https://doi.org/10.1007/BF02314844
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: V. I. Malykhin, “Subspaces of sequential spaces”, Mat. Zametki, 64:3 (1998), 407–413; Math. Notes, 64:3 (1998), 351–356
Citation in format AMSBIB
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\pages 407--413
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\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 3
\pages 351--356
\crossref{https://doi.org/10.1007/BF02314844}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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