Orbispaces
Name
62173291-MIT.pdf
Description
Full printable version
Size
5.77 MB
Format
Adobe PDF
Checksum (MD5)
1965967f23d34e33ff0549a7d1020c4a
Author(s)
Henriques, André Gil
Advisor(s)
Michael J. Hopkins.
Date Issued
2005
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, I introduce a new definition for orbispaces based a notion of stratified fibration and prove it's equivalence with other existing definitions. I study the notion of orbispace structures on a given stratified space. I then set up two parallel theories of stratified fibrations, one for topological spaces, and one for simplicial sets. Modulo a technical comparison between the two theories, I construct a classifying space for orbispace structures. Using a conjectural obstruction theory, I then prove that every compact orbispace is equivalent to the quotient of a compact space by the action of a compact Lie group.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
Includes bibliographical references (p. 127-130).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Persistent DSpace Link
