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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
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
Citation:
V. I. Malykhin, “Subspaces of sequential spaces”, Mat. Zametki, 64:3 (1998), 407–413; Math. Notes, 64:3 (1998), 351–356
Linking options:
https://www.mathnet.ru/eng/mzm1411https://doi.org/10.4213/mzm1411 https://www.mathnet.ru/eng/mzm/v64/i3/p407
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