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REALCOMPACTIFICATION OF A PRODUCT SPACE X £ Y

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Observing that ÀX £ÀY is a Wallman realcompacti¯- cation of X£Y if À(X£ÀY ) = ÀX£ÀY , we show that À(X£Y ) = ÀX£ÀY if and only if X£Y is z-embedded in ÀX£ÀY and ÀX£ÀY is a Wallman compacti¯cation of X £ Y .

1. Introduction

2. z-closed maps

3. Realcompacti¯cation of a product space X £ Y

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