# Equivalences of some v_1-telescopes

## Donald M. Davis

To appear in Proc Gitler Conf. Last updated in mid-1994.
### Abstract

Certain naturally occurring spaces have isomorphic
v_1-periodic homotopy groups. To each is associated a mapping telescope
whose ordinary homotopy groups equal the v_1-periodic homotopy groups of the
space. It is proved that the mapping telescopes of the spaces are homotopy
equivalent.
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