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Immersing 2-torsion lens spaces
Let denote the mod lens space, and let
denote the number of 1's in the binary expansion of
. In two recent papers, J. González has obtained
nonimmersion results, of different types depending upon whether or
not
, for in Euclidean space. He
conjectures that, for suitable values of and for large
enough, does not immerse in
. I will elaborate on the preceding and discuss
results that compare nicely with González's work.
Martin Bendersky
2001-10-08