Geodesic
Catching and Missing Finite Sets
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 419-425

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DOI

IfT is a 1-1 bimeasurable measure-preserving aperiodic transformation on a probability space X which is a Lebesgue space, then {A:A⊂X and for almost every pair of finite sets F and G there is an n∈N satisfying F⊂TnA and G ∩ TnA=φ} is dense in the σ-algebra of measurable sets. 
Ellis, Martin H. Catching and Missing Finite Sets. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 419-425. doi: 10.4153/CMB-1978-074-9
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     author = {Ellis, Martin H.},
     title = {Catching and {Missing} {Finite} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {419--425},
     year = {1978},
     volume = {21},
     number = {4},
     doi = {10.4153/CMB-1978-074-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-074-9/}
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