Topological Properties of Subanalytic Sets

Robert M. Hardt
1975 Transactions of the American Mathematical Society  
The stratification of a semianalytic or subanalytic set (that is, a set which locally is the proper analytic image of some semianalytic set) leads easily, by consecutive projections in Euclidean space, to a CW decomposition. In the category of subanalytic sets and continuous maps with subanalytic graphs, theories of slicing, intersection, and homology result through use of the topological chains defined by subanalytic sets.
doi:10.2307/1997218 fatcat:lll2vcmeqbb45gzf6cbg5cim6a