geometric group theory kapovich
Geometry and topology of real trees,11.4. /Filter /FlateDecode geometric group theory in the 20th century. Median spaces and spaces with measured walls,6.1.4. >> endobj Filling invariants of hyperbolic spaces,11.22.3. /Type /Page endobj /Length 179 Sunik. geometric group theory. property, as well as their characterizations in terms of group actions Relationship between median spaces and spaces with measured walls,6.2.3. Geometric group theory closely interacts with,In the first half of the 20th century, pioneering work of,The emergence of geometric group theory as a distinct area of mathematics is usually traced to the late 1980s and early 1990s. /BaseFont /ANHGPM+HelveticaNeue-Medium endobj << /ProcSet [ /PDF /Text ] Boundary extension of quasiisometries of hyperbolic spaces,11.13.3. Spectral interpretation of the Cheeger constant,3.11.1. ��*�6T��X�����Z|���mU�o��mQ�5�nׄ_�f�:�¿ck�;���s[��#���[{�w �GG�zv"�Wg�zwAӧ+������Np��I��^��M��>��K�P�~��@�ȁ��D���D�B�ءD�F���DN�v�H��F����5��ٓ��3�عS��7���ӈ[0���3�_4��ųHX2���sH\6�����HZ9��UH^���5�H^���uKHY��� �Hݸ��M+Hۼ��-�Hۺ��mkH�.ܱ�����ص�� ��lD�w��6���[�܆��v�� ��N���"��n���!���^rN�#��~r� ��A��"��a�/!��Q�/���q << /Filter /FlateDecode /FunctionType 0 endobj Group Theory Cornelia Drut¸u Michael Kapovich. Algorithmic problems in the combinatorial group theory,8.2. geometric group theory, including coarse topology, ultralimits and >> κT\2�pѧ㚕�k�לL�r���e�/,�ƽ0eQ.���QV�gy��xV���*EU]����� Quasiconvexity in hyperbolic spaces,11.8. /FontName /ANHGPM+HelveticaNeue-Medium U�Zb��"�J2.��-�>u2�b+f2��No�9�+g+�Z�V�"(�ņ����z�F���q8_�H�_B4Gyx�N:���t�\��[n�c���sڥ��{�7�G�xTo�����`���|Һ���L.�c��X��Y��Y�,�h�eK[,Ζ�-��r䶷C�Ơڀ^uEѕ�d���Ğ���O�_D�����-�669;k�A�������1��� Y.ot The universal real tree Simplicial trees have generalisations called real trees: one needs to imagine trees, in which distances between two branching points are not necessarily integers, and the number of di- Exhaustions of locally compact spaces,2.4. Quasiprojective transformations. /Encode [0 254] Inscribed radius and thinness of hyperbolic triangles,4.11. Geometry of triangles in Rips-hyperbolic spaces,11.9. Nets,2.5. /Length 3663 This includes, in particular, the work of Jean-Camille Birget, Aleksandr Olʹshanskiĭ.Development of the theory of JSJ-decompositions for finitely generated and finitely presented groups.Interactions with the theory of quasiconformal analysis on metric spaces, particularly in relation to,Development of the theory of group actions on.Interactions with low-dimensional topology and hyperbolic geometry, particularly the study of 3-manifold groups (see, e.g.,Introduction of probabilistic methods to study algebraic properties of "random" group theoretic objects (groups, group elements, subgroups, etc.). Proceedings of the symposium held at Sussex University, Sussex, July 1991. topics are mentioned only briefly, which is compensated by the /Length 394 �@� A/Z� � H��u������XR���M�&�;�e��i'�w&ӌ;P��i�v���$=�������}��)�݇lSSS�������³s+���g�������'8Y~d�������;������v�|�~�������Gԋ�)8mGm����>a�=6e�E���6�gm�'l�'m��lO�l�3e{��͖���c�?���~���;��SgϽ:�Y\Y����x endobj Gromov bordification of Gromov-hyperbolic spaces,11.13. Ping-pong lemma. /Domain [0 1] [This /Font << /F45 4 0 R /F43 5 0 R >> /XHeight 517 >> immensely valuable historical commentary is particularly Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces). Finitely generated and finitely presented groups,7.4. This applies to many groups naturally appearing >> f�ݝ�{ �/|���`���]�\���pB�4�k>a���G�N���we" P��T���_�`{&ر-�M���mk�iܿ���%�Y�m�s�`wLF��nӑBC����Ϯo(�J'z�!�?˲�7�錷LTZ���X��y>~��9^��Ӝ]�a�m������"$�s�ICV��H�D�X����gm1XB�YS�fq 1E�m�]Cv��'4xJ�7E����[u^�ZW���[lZ�mn�w!ؖ�����$�U-A5��!����Z��XŐu�f�rU@���(Q���|L�͙ʊz5��]P����F}��_e�7��`1��`�zo��*��7Γߞ�V�p>��n��l.S�Q\Ɯ��9xKUjBS5�}?l�B�ʃ� D �,���.��͵�84��,+��i����\ �Z�+�� manifolds, groups of matrices with integer coefficients, etc. Ultralimits and stability of geodesics in Rips-hyperbolic spaces,11.5.
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