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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

29 Jan 2010: INDEX TO SGA 1. INDEX TO SGA 1! " # $ % & $ ' & " ( # ) # # & , -! / #! 0 ' %! 1 2! 3 , -! / #! % / 2 # )! ' #! 4 , -! / #! # ) % & #! 5 # 6 # 7 # / #! # ) % & #! 38 9 % - - # ) # ) : " % / # % & # " #! / -! / #! # ) % & #! 8; < - - & $ % % ' = # = #

29 Jan 2010: Let op be the localisation of oK at p. As in the proof of 4.5, we observe that bycondition (i), the dening equation (4.5.1) gives a nite morphism ... P1 op whosegeneric bre is j:X! P1K. Hence in the notation of 2.15 the morphism jZ :X!

29 Jan 2010: 1 n op q r s t u r v ì w Ç x yz ü {|} ¡ ¢£ ¤ ¥ ª « µ º » º ¿ À Á Â ÃÄ Å Æ Ç È ... A B C D E F G H I J K L M N OP Q R S T U V W X YZ [ ø é ] _ a b c û d

29 Jan 2010: Z û - [ ] È _ a b I M c / d e ç f g ý h C û ö i j f Ó k Ð Ù I l m n IC op ... X Y Y : Z z [ ] _ ab ü c d ef g h i R Ò j R k R l m n op A q r b b s _ t u

29 Jan 2010: l m i E n ö X í n í í í Y Ü Ü í í í o Ôp S Õ q â c # 1 ] } # V 2 Ù | Ç r ) < ]

17 Feb 2010: Part IB GEOMETRY, Examples sheet 3 (Lent 2010, Burt Totaro). (1) Show that the tangent space to S2 at a point P = (x, y, z) S2 is the plane. normal to the vectorOP , where O denotes the origin. (2) Let V be the open subset {0 < u < π, 0 < v < 2π}