2026-09-22T06:32:20Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/330912022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Michael J. Hopkins.
Henriques, André Gil
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-06-19T17:39:39Z
2006-06-19T17:39:39Z
2005
2005
http://hdl.handle.net/1721.1/33091
62173291
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
Includes bibliographical references (p. 127-130).
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.
by André Gil Henriques.
Ph.D.
130 p.
6046340 bytes
6052601 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Orbispaces
Thesis
application/pdf
Publication
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