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You searched for +publisher:"University of Illinois – Chicago" +contributor:("Bousfield, Aldridge"). Showing records 1 – 2 of 2 total matches.

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University of Illinois – Chicago

1. Gu, Xing. On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications.

Degree: 2017, University of Illinois – Chicago

In this paper we calculate the integral cohomology of the classifying spaces of projective unitary groups of arbitrary degrees, up to dimension 10. We apply this result to solve the topological period-index problem over connected finite CW-complexes of dimension 8. Advisors/Committee Members: Shipley, Brooke (advisor), Antieau, Benjamin (advisor), Bousfield, Aldridge (committee member), Gillet, Henri (committee member), Williams, Thomas Ben (committee member), Shipley, Brooke (chair).

Subjects/Keywords: Brauer groups; period-index problems

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gu, X. (2017). On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22060

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gu, Xing. “On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications.” 2017. Thesis, University of Illinois – Chicago. Accessed June 07, 2020. http://hdl.handle.net/10027/22060.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gu, Xing. “On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications.” 2017. Web. 07 Jun 2020.

Vancouver:

Gu X. On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jun 07]. Available from: http://hdl.handle.net/10027/22060.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gu X. On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22060

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Illinois – Chicago

2. Bayindir, Haldun Ozgur. Topological Equivalences of E-infinity Differential Graded Algebras.

Degree: 2018, University of Illinois – Chicago

Two DGAs are said to be topologically equivalent when the corresponding Eilenberg–Mac Lane ring spectra are weakly equivalent as ring spectra. Quasi-isomorphic DGAs are topologically equivalent, but the converse is not necessarily true. As a counterexample, Dugger and Shipley showed that there are DGAs that are nontrivially topologically equivalent, ie topologically equivalent but not quasi-isomorphic. In this work, we define E-infinity topological equivalences and utilize the obstruction theories developed by Goerss, Hopkins and Miller to construct first examples of nontrivially E-infinity topologically equivalent E-infinity DGAs. Also, we show using these obstruction theories that for coconnective E-infinity Fp–DGAs, E-infinity topological equivalences and quasi-isomorphisms agree. For E-infinity Fp–DGAs with trivial first homology, we show that an E-infinity topological equivalence induces an isomorphism in homology that preserves the Dyer–Lashof operations and therefore induces an H-infinity Fp–equivalence. Advisors/Committee Members: Shipley, Brooke (advisor), Bousfield, Aldridge K (committee member), Antieau, Benjamin (committee member), Gillet, Henri (committee member), Mathew, Akhil (committee member), Shipley, Brooke (chair).

Subjects/Keywords: Dyer-Lashof operations; Differential graded algebras; Commutative ring spectra; Obstruction theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Bayindir, H. O. (2018). Topological Equivalences of E-infinity Differential Graded Algebras. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23145

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Bayindir, Haldun Ozgur. “Topological Equivalences of E-infinity Differential Graded Algebras.” 2018. Thesis, University of Illinois – Chicago. Accessed June 07, 2020. http://hdl.handle.net/10027/23145.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Bayindir, Haldun Ozgur. “Topological Equivalences of E-infinity Differential Graded Algebras.” 2018. Web. 07 Jun 2020.

Vancouver:

Bayindir HO. Topological Equivalences of E-infinity Differential Graded Algebras. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Jun 07]. Available from: http://hdl.handle.net/10027/23145.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bayindir HO. Topological Equivalences of E-infinity Differential Graded Algebras. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/23145

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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