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학술저널

MINIMAL QUASI-F COVERS OF SOME EXTENSION

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Observing that every Tychono?? space X has an exten- sion kX which is a weakly LindelÄof space and the minimal quasi-F cover QF(kX) of kX is a weakly LindelÄof, we show that ©kX : QF(kX) ! kX is a z#-irreducible map and that QF(¯X) =¯QF(kX). Using these, we prove that QF(kX) = kQF(X) if and only if ©k X : kQF(X) ! kX is an onto map and ¯QF(X) =QF(¯X).

1. Introduction

2. Quasi-F covers

3. Minimal quasi-F covers of kX

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