Spaces in which sequences suffice
S. Franklin (1965)
Fundamenta Mathematicae
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S. Franklin (1965)
Fundamenta Mathematicae
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Saliou Sitou (1999)
Mathematica Slovaca
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Yoshio Tanaka (2007)
Commentationes Mathematicae Universitatis Carolinae
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We consider properties of Tanaka spaces (introduced in Mynard F., , Comment. Math. Univ. Carolin. (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.
V. Kannan (1980)
Fundamenta Mathematicae
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S. Franklin (1967)
Fundamenta Mathematicae
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Frédéric Mynard (2002)
Commentationes Mathematicae Universitatis Carolinae
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Strongly sequential spaces were introduced and studied to solve a problem of Tanaka concerning the product of sequential topologies. In this paper, further properties of strongly sequential spaces are investigated.