Abstract Julie Bergner

Abstract: In joint work with C. Rezk, we give a chain of Quillen equivalences of model categories between Rezk's $\Theta_n$-spaces and categories enriched in $\Theta_{n-1}$-spaces.  One of the intermediate models is given by complete Segal objects in $\Theta_{n-1}$-spaces, and its properties are surprisingly subtle.  We'll look at these objects, their model structure, and the comparisons to both $\Theta_n$-spaces and Segal category objects in $\Theta_{n-1}$-spaces.

Share this page:

Contact details

Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 229 7407

Campus Based Courses

Undergraduate: mathsug@le.ac.uk
Postgraduate Taught: mathspg@le.ac.uk

Postgraduate Research: pgrmaths@le.ac.uk

Distance Learning Course  

Actuarial Science:

DL Study

Student complaints procedure

AccessAble logo

The University of Leicester is committed to equal access to our facilities. DisabledGo has detailed accessibility guides for College House and the Michael Atiyah Building.