Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.698265 |
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Title: | Reducts of aleph_zero-categorical structures | ||||||
Author: | Agarwal, Lovkush |
ISNI:
0000 0004 5990 2500
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Awarding Body: | University of Leeds | ||||||
Current Institution: | University of Leeds | ||||||
Date of Award: | 2016 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
Given two structures M and N on the same domain, we say that N is a reduct of M if all emptyset-definable relations of N are emptyset-definable in M. In this thesis, the reducts of the generic digraph, the Henson digraphs, the countable vector space over F_2 and of the linear order Q.2 are classified up to first-order interdefinability. These structures are aleph_zero-categorical, so classifying their reducts is equivalent to classifying the closed groups that lie in between the structures’ automorphism groups and the full symmetric group.
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Supervisor: | Truss, John | Sponsor: | Not available | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.698265 | DOI: | Not available | ||||
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