ABSTRACT. A completely regular, Hausdorff space X is called a Marik space if every Baire measure on X· admits an extension to a regular Borel measure. We answer the questions about Marik spaces asked by Wheeler [29] and study their topological properties. In particular, we give examples of the following spaces: A locally compact, measure compact space which is not weakly Bairedominated; i.e., it has a sequence Fn L 0 of regular closed sets such that nnEw Bn # 0 whenever Bn 's are Baire sets with Fn C Bn ; a countably paracompact, non-Marik space; a locally compact, non-Marik space X such that the absolute E(X) is a Marik space; and a locally compact, Marik space X for which E(X) is not. It is also proved that Michael's product space is not weakly Baire-dominated.
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