Displaying similar documents to “Accessibility spaces, k -spaces and initial topologies”

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.

More on strongly sequential spaces

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.