A Topology for Galois Types in AECs Export

@article{citeulike:4940417, abstract = {We present a way of topologizing sets of Galois types over structures in abstract elementary classes with amalgamation. In the elementary case, the topologies thus produced refine the syntactic topologies familiar from first order logic. We exhibit a number of natural correspondences between the model-theoretic properties of classes and their constituent models and the topological properties of the associated spaces. Tameness of Galois types, in particular, emerges as a topological separation principle.}, archivePrefix = {arXiv}, author = {Lieberman, Michael}, citeulike-article-id = {4940417}, citeulike-linkout-0 = {http://arxiv.org/abs/0906.3573}, citeulike-linkout-1 = {http://arxiv.org/pdf/0906.3573}, day = {19}, eprint = {0906.3573}, keywords = {aec, model-theory}, month = {Jun}, posted-at = {2009-06-24 01:49:52}, priority = {2}, title = {A Topology for Galois Types in AECs}, url = {http://arxiv.org/abs/0906.3573}, year = {2009} }

TY - JOUR ID - citeulike:4940417 L3 - citeulike-article-id:4940417 N2 - We present a way of topologizing sets of Galois types over structures in abstract elementary classes with amalgamation. In the elementary case, the topologies thus produced refine the syntactic topologies familiar from first order logic. We exhibit a number of natural correspondences between the model-theoretic properties of classes and their constituent models and the topological properties of the associated spaces. Tameness of Galois types, in particular, emerges as a topological separation principle. TI - A Topology for Galois Types in AECs KW - aec KW - model-theory AU - Lieberman, Michael PY - 2009/Jun/19/ UR - http://arxiv.org/abs/0906.3573 ER -