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22 Jan 2008: Then thereare categories of spaces: the most familiar is Top, the category of topological spaces;but there are many other notions of space, for example [op, Sets], the category ofsimplicial sets

9 Sep 2002: The list does include allsimply-connected rank-one symmetric spaces except CP 2, OP 2 (the Cayley projectiveplane) and the obvious case S2.

29 Jul 2011: ON THE AUTOMORPHY OF l-ADIC GALOISREPRESENTATIONS WITH SMALL RESIDUAL. IMAGE. JACK THORNE. Abstract. We prove new automorphy lifting theorems for essen-tially conjugate self-dual Galois representations into GLn. Existingtheorems require that the

16 Mar 2016: A 2-adic automorphy lifting theorem for unitary groups over CM. fields. Jack A. Thorne. March 16, 2016. Abstract. We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitarytype, over imaginary CM fields. We

20 Dec 2018: Coding and Cryptography. T. W. Körner. December 20, 2018. Transmitting messages is an important practical problem. Coding theoryincludes the study of compression codes which enable us to send messagescheaply and error correcting codes which ensure

11 Jul 2015: The goals of Chapter 2 are to frame bqo theory from the ‘Simpsonian’ perspectiveintroduced in [18] and to prove (using Simpson’s topological definition) that certain op-erations preserve bqoness

8 Jun 2020: ii) We have a functor op : Cat Cat, with the identity operation on morphisms. ... C [C, Set] Y1 [C, Set]op [C, Set] [C,Set](,) Set,. where Cop Y [C, Set] is the Yoneda embedding, given by A 7 C (A,).

10 Mar 2020: Remark 5.30. Consider the closure of the class of finite groups and abelian groups under the op-erations of Proposition 5.20; this is called the class of elementary amenable

1 Feb 2023: Geometric inverse problems. with emphasis on two dimensions. Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann. iii. To our families and all who have supported us. This material has been published by Cambridge University Press & Assessment

13 Aug 2008: Thus RC (CR)op, and the categories are opposites of one another.

7 Nov 2017: 1a Lectures on Groups. Rachel Caminanotes by. Thomas Forster. November 4, 2017. Contents. 1 Subgroups 4. 2 Isomorphism and Homomorphism 52.1 Homomorphism. 6. 3 Symmetric and Dihedral Groups 93.1 Dihedral Groups. 153.2 Group Presentations. 16. 4

20 Nov 2006: Contents. 0.1 Stuff to fit in. 2. 1 Languages and Automata 31.1 Questions. 31.2 Answers. 61.3 Model Answers to Tripos Questions. 22. 1.3.1 Regular expressions and pattern matching. 25. 2 Foundations of Functional Programming 332.1 Answers to Tripos

1 Jan 2019: Proposition 5.4.3. The Schwartz class S(Rd)is stable under the Fourier transform, and the op-.

5 Feb 2008: 2007 lectures on Set Theory. Thomas Forster. February 5, 2008. 2. Contents. 0.1 Foreword. 50.2 Notation and definitions. 5. 1 Proof theory and recursive function theory 71.1 Completeness of LPC. 71.2 Do some ordinals here. 9. 2 Some model theory

23 Dec 2010: Symmetric sets and graph models of set and multiset. theories. Hoang-Vu Dang. Trinity College. September 8, 2010. This dissertation is submitted for the degree of Doctor of Philosophy. 1. This dissertation is the result of my own work and includes

17 Dec 2010: The si&uation is not improved by considering coreflective subcategories of T.OP (e.g+ making use of compactly generated topologies) but a full discussion is beyond the scope of this

17 Dec 2010: The si&uation is not improved by considering coreflective subcategories of T.OP (e.g+ making use of compactly generated topologies) but a full discussion is beyond the scope of this

15 Nov 2010: 2009 lectures on Set Theory. Thomas Forster. April 3, 2010. 2. Contents. 0.1 Foreword. 60.2 Notation and definitions. 7. 1 Proof theory and recursive function theory 91.1 Completeness of LPC. 91.2 Do some ordinals here. 111.3 Some recursive function

22 Aug 2008: On full abstra tion for PCF:I. Models, observables and the full abstra tion problemII. Dialogue games and inno ent strategiesIII. A fully abstra t and universal game modelJ. M. E. HylandDepartment of Pure Mathemati s and Mathemati al Statisti

22 Aug 2008: On full abstra tion for PCF:I. Models, observables and the full abstra tion problemII. Dialogue games and inno ent strategiesIII. A fully abstra t and universal game modelJ. M. E. HylandDepartment of Pure Mathemati s and Mathemati al Statisti