y-SETS AND OTHER SINGULAR SETS OF REAL NUMBERS

@inproceedings{Galvin2001ySETSAO,
  title={y-SETS AND OTHER SINGULAR SETS OF REAL NUMBERS},
  author={Fred Galvin and Arnold W. Miller},
  year={2001}
}
In the papers of Gerlits-Nagy [4] and McCoy [6] a study is made of properties of a space X which imply or are equivalent to other properties of the space C(X) (i.e. space of continuous real-valued functions on X with the topology of pointwise convergence). A family 2 of open subsets of X is an w-cover of X iff every finite subset of X is contained in an element of 9. A space X has the y-property iff for every w-cover 9 of X there exists a sequence (D,,: n < u)E~~ such that 
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