A Property Between Compact and Strongly Countably Compact
Dušan Milovančević (1985)
Publications de l'Institut Mathématique
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Displaying similar documents to “Linearly Singly Bi-k-spaces”
A Property Between Compact and Strongly Countably Compact
Productively Fréchet spaces
Francis Jordan, Frédéric Mynard (2004)
Czechoslovak Mathematical Journal
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We solve the long standing problem of characterizing the class of strongly Fréchet spaces whose product with every strongly Fréchet space is also Fréchet.
Two-fold theorem on Fréchetness of products
Szymon Dolecki, Tsugunori Nogura (1999)
Czechoslovak Mathematical Journal
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A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.
On differentiability of strongly α(·)-paraconvex functions in non-separable Asplund spaces
S. Rolewicz (2005)
Studia Mathematica
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In Rolewicz (2002) it was proved that every strongly α(·)-paraconvex function defined on an open convex set in a separable Asplund space is Fréchet differentiable on a residual set. In this paper it is shown that the assumption of separability is not essential.
Tanaka spaces and products of sequential spaces
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.