Parametrized higher category theory
Name
1015183712-MIT.pdf
Description
Full printable version
Size
5.38 MB
Format
Adobe PDF
Checksum (MD5)
9e82c166acb0209efb888b417fd85292
Author(s)
Shah, Jay (Jay Hungfai Gautam)
Advisor(s)
Clark Barwick.
Date Issued
2017
Publisher
Massachusetts Institute of Technology
Abstract
We develop foundations for the category theory of [infinity]-categories parametrized by a base occategory. Our main contribution is a theory of parametrized homotopy limits and colimits, which recovers and extends the Dotto-Moi theory of G-colimits for G a finite group when the base is chosen to be the orbit category of G. We apply this theory to show that the G-[infinity]-category of G-spaces is freely generated under G-colimits by the contractible G-space, thereby affirming a conjecture of Mike Hill.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017.
Cataloged from PDF version of thesis.
Includes bibliographical references (page 99).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
Persistent DSpace Link
