Transversality theorems for the weak topology

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Date(s) - 24 novembre 2011

Catégories Pas de Catégories

Openness of the set of maps transverse to a stratification implies that the stratification is $a$-regular (Trotman 1979). We prove a similar result for the weak topology in the real case and then we show how to use this result to prove a result analogus to Trotman’s theorem for complex manifolds and holomorphic maps.