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Reducts of aleph_zero-categorical structures

Agarwal, Lovkush (2016) Reducts of aleph_zero-categorical structures. PhD thesis, University of Leeds.

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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.

Item Type: Thesis (PhD)
Related URLs:
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Identification Number/EthosID: uk.bl.ethos.698265
Depositing User: Mr Lovkush Agarwal
Date Deposited: 01 Dec 2016 12:01
Last Modified: 25 Jul 2018 09:53
URI: http://etheses.whiterose.ac.uk/id/eprint/15645

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