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math.AT2018
A Whitehead theorem for periodic homotopy groups
Tobias Barthel, Gijs Heuts, Lennart Meier
We show that -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.
math.AT2018
Lie algebras and -periodic spaces
Gijs Heuts
We consider a homotopy theory obtained from that of pointed spaces by inverting the maps inducing isomorphisms in -periodic homotopy groups. The case n = 0 corresponds to rati…