Abstract:We consider properties of Tanaka spaces (introduced in Mynard F., {More on strongly sequential spaces}, Comment. Math. Univ. Carolin. {43} (2002), 525--530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.
Keywords: Tanaka space, strongly sequential space, weakly sequential space, sequential space, $k$-space, inner-closed $A$-space
AMS Subject Classification: 54D50, 54D55, 54B10, 54B15