@Article{tal1997:topological, author = {Tal, D. and Schwartz, E. L.}, title = {Topological singularities in cortical orientation maps: the sign theorem correctly predicts orientation column patterns in primate striate cortex}, journal = {Network: Computation in Neural Systems}, volume = 8, number = 2, pages = {229--238}, month = may, year = 1997, datestr = 199705, INSPEC = 5607510, abstract = {This work indicates that primate visual cortex orientation column structure is best understood in the context of other `ordered continuous media' (e.g. liquid $He^3$, cholesteric liquid crystals, random optical phase maps, to name only a few) in which an order parameter (orientation in this case) is mapped to a physical space, and in which the topological properties of the mapping determine the observable regularities of the system. We also point out that these methods may well be applied to a variety of other cortical map systems which admit an `order parameter', i,e. for which each cortical position is assigned a continuous stimulus value}, }