Extension of Embeddings of Wallman remainders

Abstract

In this paper we show that the embedding of a Wallman remainder need not be a Wallman extendible function. Even If the embedding is Wallman extendible, it need not be uniquely extendible. We show, however, that If the space X is Hausdorff and if the embedding of WX\X in WX is Wallman extendible, then the extension must be unique. Further, if X is regular and if the embedding of WX\X in WX Is Wallman extendible, then this embedding is a WC function.