We provide an extensive study of the homotopy theory of types of algebras with
units, for instance unital associative algebras or unital commutative algebras. To this
purpose, we endow the Koszul dual category of curved coalgebras, where the notion
of quasi-isomorphism barely makes sense, with a model category structure Quillen
equivalent to that of unital algebras. To prove such a result, we use recent methods
based on presentable categories. This allows us to describe the homotopy properties
of unital algebras in a simpler and richer way. Moreover, we endow the various
model categories with several enrichments which induce suitable models for
the mapping spaces and describe the formal deformations of morphisms of
algebras.
PDF Access Denied
We have not been able to recognize your IP address
18.227.48.131
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.
