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학술저널

MINIMAL QUASI-F COVERS OF ÀX

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We show that if X is a space such that ¯QF(X) =QF(¯X) and each stable Z(X)#-ultra¯lter has the countable inter- section property, then there is a homeomorphism hX : ÀQF(X) ¡! QF(ÀX) with rX = ©ÀX ± hX. Moreover, if ¯QF(X) = QF(¯X) and ÀE(X) = E(ÀX) or À¤(X) = ¤(ÀX), then ÀQF(X) = QF(ÀX).

1. Introduction

2. Quasi-F covers

3. Minimal quasi-F covers of ÀX

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