Special refinements and their applications on products

Products of WeakP‐Spaces andK‐Analytic Spaces

“…[MATHEMATIKA, 54 (2007), 67-81] THEOREM 1.5 ( [5,11,12,16,24]). For a P-space X and a AE-space Y,ifX and Y are Lindelo¨f (resp.…”

“…Here, let us give simultaneous proofs of these results, using the notion of special refinements defined by Yajima in [24]. A collection G is said to be directed if, for every G 1 ; G 2 2G, there exists G 3 2Gsuch that G 1 [ G 2 & G 3 .…”