Geodesic
A Note on Regular Measures
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 41-44

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As is well known, every Borel measure in a metric space S is regular, provided that S is the union of a sequence of open sets of finite measure. It seems, however, not yet to have been noticed that this theorem can be easily extended to all spaces with Urysohn' s f "F-property", i.e., spaces in which every closed set is a countable intersection of open sets (we call such spaces "F-spaces"). Indeed, various theorems are unnecessarily restricted to metric spaces, while weaker assertions are made about F-spaces. This seems to justify the publication of the following simple proof which extends the theorem stated above to F-spaces. 
Zakon, Elias. A Note on Regular Measures. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 41-44. doi: 10.4153/CMB-1964-004-4
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