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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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\jour Math. Notes
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\pages 351--356
\crossref{https://doi.org/10.1007/BF02314844}
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  • https://doi.org/10.4213/mzm1411
  • https://www.mathnet.ru/eng/mzm/v64/i3/p407
    • This publication is cited in the following 3 articles:
    1. Ince I., Ersoy S., “On Sequential Topological Groups”, J. Korean Soc. Math. Educ. Ser. B-Pure Appl. Math., 25:4 (2018), 243–252  crossref  isi
    2. Hrusak M., Meza-Alcantara D., Thummel E., Uzcategui C., “Ramsey Type Properties of Ideals”, Ann. Pure Appl. Log., 168:11 (2017), 2022–2049  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Garcia-Ferreira, S, “Subsequential filters”, Topology and Its Applications, 156:18 (2009), 2949  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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