We discuss a notion of
uniqueness up to-homotopy
and study examples from stable homotopy theory. In particular, we show that the
-expansion
map from elliptic cohomology to topological
-theory is unique up to
-homotopy, away from
the prime
, and that
upon taking
-completions
and
-homotopy
fixed points, this map is uniquely defined up to
-homotopy.
Using this, we prove new relationships between Adams operations
on connective and dualisable topological modular forms — other
applications, including a construction of a connective model of Behrens’
spectra
away from
,
will be explored elsewhere. The technical tool facilitating this uniqueness is a variant of
the
-local
Goerss–Hopkins obstruction theory for
real spectra, which
applies to various elliptic cohomology theories and topological
-theories
with a trivial complex conjugation action as well as some of their homotopy fixed
points.
PDF Access Denied
We have not been able to recognize your IP address
44.200.94.150
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.