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/Type /XObject /Width 2049 A SHEAF THEORETIC APPROACH TO MEASURE THEORY by Matthew Jackson B.Sc. x�3PHW0Pp�2�A;�p黙*�YZZ�+��)Z��[*��X�R�55 -5 Dan Dugger, Sheaves and homotopy theory, pdf; Classics of sheaf theory on topological spaces are. /Filter /FlateDecode Z�%ߦ��A:��u�e}_ߣ����|W�H)ҋ�(�$�u���`4�ɾw��-4Ɠ?$�"ʶC�4�ZW�Y�L�"��7R�R�:o���el%�oM`��~ɚq[�����?C���W��{��Oe� MM�?�Ŧ /Length 313 ���� JFIF ,, ��&Exif MM * n v( 1 ~2 ��i � � , , Adobe Photoshop CS Macintosh 2008:07:21 14:56:02 � �� � � h * 2( : $� H H ���� JFIF H H �� Adobe_CM �� Adobe d� �� � sheaf theory and symplectic topology, due to several authors, Nadler ([Nad, Nad-Z], [Tam], Guillermou-Kashiwara-Schapira [G-K-S]. /Type /Page << /pgfprgb [/Pattern /DeviceRGB] >>

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endstream >> endobj stream stream (Hons), University of Canterbury, 1996 Mus.B., University of Canterbury, 1997 M.A. /Parent 10 0 R Ya)/U�Q�p� ��8B��T�~�¨�c-y� � �0 s\i��'w���q��|L}=*�� ��eLd�Ku�&� �Pƕ��n61uI��v �h�bV�t͚ ���8�D���G���Т�,n2�H��A�x��~/֛��$8cn`��ֻ�|s(2�Ns�=B�1w�tdm�����4��W��2�R�� )q�>y�_�{[�=�;[��+;S>j����u���}]-� v�w� >> endobj /Resources 11 0 R /Length 448009 Roger Godement, Topologie algébrique et théorie des faisceaux, Hermann, 1958, 283 p. gBooks. C'B&�PJ x�x(Sf�T[�}Y7�bY!���@^0]ny�X/���*o��U�p�f"�4��_?�KK���N�>����O�`�8�H����S�3 c)7)|p�kv2F�3����{C}Ki��D�8o�cix�aCw+�4`I-�&���ÒQ �}�L��\M��)�~����a�͈�\��Ì(UQ�����4 �� This approac h allo ws in tegrating concurrency with ob jects, data abstraction, information hiding, etc., and also helps to illuminate the notion of inheritance. �C�v���4�!�-�Ա���U}yl�������T8�F����%�j"��L�ф�=�ݡ9� ��)��:f?Fvt�������Ӽ�U3.ߑ�m��P-3�$��DluxJ5þ{�^-:E2�A%��u�Q�@ ���TX���-yg9�N���v��~x�h�Pe�m�}_�Cޤ"� '0*�K�r�Tp]����4�7μ-�UP��h)�%��>'0�Z��Ѹ�H7����[g�5G-��+4��� x����o TF3~����wmh�Kx�:�=%!��/X{��4�+I�
/Length 113 De nition 1.2 (C 1Compatible). ������8�0|��Qog~�QjJ�(H����Ot1��?��D��ÌBb�+ ��3!Z�d� n�n2U�'s��i << /S /GoTo /D [9 0 R /Fit ] >> 11 0 obj << /Filter /FlateDecode >> 139 0 obj 11 0 obj << stream %���� In any case, it seems that Leray’s speci c approach oriented him towards the issue of localization, and opened the way to his really new discoveries in a way the Cec h theory would not have. stream

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sheaf theory. << 20Students.pdf. 5 0 obj << We call the pair (U;˚) a chart. Topology, cohomology and sheaf theory Tu June 16, 2010 1 Lecture 1 1.1 Manifolds De nition 1.1 (Locally Euclidean). =*��z���4����{�Q�f,��@�7\J��W��J�[x 9��|��V����W�����Y¶L��J�f�,���_�����8c��A��u��R�N��xN��q��ML���m� k��׉�f�ګT��Tp��f�T��ińJ[Yg*=��x�3ϫR��0D�8�q,��������I��p4Cci���f>3��:b>)��,o�!�h��˴M2�Z!���Ҋ�� 1�B�]WF�'V{��tIw��:�][΃é9�&6����sQj5X����p3�'�GijGqo�_��a�߅�:�����T� G6. /ColorSpace 3 0 R /Pattern 2 0 R /ExtGState 1 0 R /ColorSpace /DeviceGray sheaf theory in Computing Science is the desire to giv e se-man tics for \new generation" systems, suc h as ob ject-based concurren t information programming languages, and op erating systems. �*i���M,mUT���` kZѵ�c�k�4�IJI$�R�IT��X/���;��.�Uv]c�u���3-�үs=KvzU��"Jm����H��VSi�)���:E�s�)kkŏ�;������\��Ρ�7�8�$�*ϳ�ژ+��g5�6Y�슱q��UyY_i��V�%="K�g�֎%��~%�U�b����nw�g鬷k�W�� �;=O����K���c���n�������k�p��)k��d[�swn��z�?&����A%=RK���i�}�zYY������{-�36��s�W}����=>�r}/���غ���LI��u¦�׍G��@�U�ُCv7���%'Ig�uޕ�}X��וsI��������˭�}6ו]���?J�R�I$���I%)$�IO���T�I%)$�g]�؝ּ-|��`%�6=k�����ޮfV�O��_J��O�����r���Ǡ��L��]ln��c�����/�.&]O��b. Abstract A sheaf-theoretic proof of de Rham cohomology being a topological invariant has been presented. /Type /Page /Length 1345 << 137 0 obj

��? A. Grothendieck, Tohoku. (Dist), University of Canterbury, 1998 M.S., Carnegie Mellon University, 2000 2006 Submitted to the Graduate Faculty of the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy …

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