Geodesic
On the Complete Regularity of Some Category Spaces
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 651-656

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A category space is a measure space which is also a topological space, the measure and the topology being related by ‘a set is measurable iff it has the Baire property’ and ‘a set is null iff it is nowhere dense’ [4]. We considered some category spaces in [3]; now we show that if a null set is deleted from the space, then the topology can be taken to be completely regular. The essential part of the construction consists of obtaining a suitable refinement of the original sequential covering class and using the consequent strong upper density function to define the required topology. Then the complete regularity follows much as in [1]. 
Eames, W. On the Complete Regularity of Some Category Spaces. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 651-656. doi: 10.4153/CMB-1974-118-2
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     title = {On the {Complete} {Regularity} of {Some} {Category} {Spaces}},
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     year = {1975},
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