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math.GT2013
A short proof of Toruńczyk's Characterization Theorems
Jan J. Dijkstra, Michael Levin, Jan van Mill
We present short proofs of Toruńczyk's well-known characterization theorems of the Hilbert cube and Hilbert space, respectively.
math.GN2013
Unions of F-spaces
Klaas Pieter Hart, Leon Luo, Jan van Mill
We show that every space that is the union of a `small' family consisting of special P-sets that are F-spaces, is an F-space. We also comment on the sharpness of our results.