Infinitely many reducts of homogeneous structures
  It is shown that the countably infinite dimensional pointed vector space (the vector space equipped with a constant) over a finite field has infinitely many first order definable reducts. This implies that the countable homogeneous Boolean-algebra has infinitely many reducts. Our construction over the 2-element field is related to the Reed--Muller codes. 
Bertalan Bodor, Peter J. Cameron, Csaba Szab\'o
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