Browse by Advisor

2022

Shinko, Forte (2022) Descriptive Set Theory and Dynamics of Countable Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/egch-kp69. https://resolver.caltech.edu/CaltechTHESIS:05252022-040224796

2021

Frisch, Joshua Robert (2021) Analogues of Amenability. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/yymw-xd55. https://resolver.caltech.edu/CaltechTHESIS:05302021-185858708

2018

Chen, Ruiyuan (2018) Definability and Classification of Equivalence Relations and Logical Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/7BP3-VZ93. https://resolver.caltech.edu/CaltechTHESIS:05212018-182542598

Meehan, Connor George Walmsley (2018) Definable Combinatorics of Graphs and Equivalence Relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/45E4-MC27. https://resolver.caltech.edu/CaltechTHESIS:06012018-160828760

2017

Burton, Peter J. (2017) Approximation and Classification in the Ergodic Theory of Nonamenable Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9R49NTF. https://resolver.caltech.edu/CaltechTHESIS:05262017-150152046

Chan, William (2017) Aspects of Definability for Equivalence Relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z90P0X3M. https://resolver.caltech.edu/CaltechTHESIS:05312017-155530848

2013

Tucker-Drob, Robin Daniel (2013) Descriptive Set Theory and the Ergodic Theory of Countable Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ER96-5D06. https://resolver.caltech.edu/CaltechTHESIS:05162013-102038765

2008

Tsankov, Todor Dimitrov (2008) Amenability, Countable Equivalence Relations, and Their Full Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/N91C-HV48. https://resolver.caltech.edu/CaltechETD:etd-05022008-113702

2005

Wei, Tzer-jen (2005) Descriptive Properties of Measure Preserving Actions and the Associated Unitary Representations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HECM-A179. https://resolver.caltech.edu/CaltechETD:etd-05202005-160741

2002

Pavelich, Janet Mary (2002) Commuting Equivalence Relations and Scales on Differentiable Functions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RHBN-ZN06. https://resolver.caltech.edu/CaltechTHESIS:01262012-103823681

1999

Sofronidis, Nikolaos Efstathiou (1999) Topics in descriptive set theory related to equivalence relations, complex borel and analytic sets. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/vva8-1959. https://resolver.caltech.edu/CaltechTHESIS:01232017-134252080

1998

Li, Xuhua (1998) Some results on projective equivalence relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pn2n-7z61. https://resolver.caltech.edu/CaltechTHESIS:01202017-113604553

1995

Ki, Haseo (1995) Topics in descriptive set theory related to number theory and analysis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/SQV8-S991. https://resolver.caltech.edu/CaltechETD:etd-10112007-111738

Solecki, Slawomir J. (1995) Applications of descriptive set theory to topology and analysis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/s2fn-6633. https://resolver.caltech.edu/CaltechTHESIS:12012011-093702619

1992

Ditzen, Achim (1992) Definable equivalence relations on Polish spaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rf5s-m868. https://resolver.caltech.edu/CaltechTHESIS:11232011-134429806

1990

Kafkoulis, George (1990) Homogeneous sequences of cardinals for ordinal definable partition relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hchw-ca34. https://resolver.caltech.edu/CaltechETD:etd-06132007-073731

Uzcátegui, Carlos (1990) Smooth sets for borel equivalence relations and the covering property for σ-ideals of compact sets. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/cfsq-aw69. https://resolver.caltech.edu/CaltechTHESIS:03182015-110250011

1989

Feres, Renato (1989) Geodesic Flows on Manifolds of Negative Curvature with Smooth Horospheric Foliations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/f6yt-bf73. https://resolver.caltech.edu/CaltechETD:etd-05232007-115904

1987

Lutz, Jack Harold (1987) Resource-Bounded Category and Measure in Exponential Complexity Classes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dccw-3z56. https://resolver.caltech.edu/CaltechTHESIS:03192012-101000956

1986

Ramsamujh, Taje Indrallal (1986) Some Topics in Descriptive Set Theory and Analysis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8pdn-xf41. https://resolver.caltech.edu/CaltechTHESIS:01202017-145315777

1985

Crawshaw, Mark (1985) Explicit Formulas for the Jump of Q-degrees. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/b0x4-c027. https://resolver.caltech.edu/CaltechTHESIS:01232017-115539334

1981

Kastanas, Ilias George (1981) The Ramsey property and degrees in the analytical hierarchy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pp79-pm74. https://resolver.caltech.edu/CaltechTHESIS:01202017-152612696

1978

Rubin, Arthur Leonard (1978) Free Algebras in Von Neumann-Bernays-Gӧdel Set Theory and Positive Elementary Inductions in Reasonable Structures. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/62t8-9b85. https://resolver.caltech.edu/CaltechTHESIS:05282015-144505104