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Published online by Cambridge University Press: 22 January 2016
In this paper, we study a certain difference between meromorphic mappings and holomorphic mappings into taut complex analytic spaces. We prove in §2 that, for any complex analytic space X, there exists a unique proper modification  of X with center Sg (X) which is minimal with respect to the property that M(X) is normal and, for any T-meromorphic mapping f: X → Y (see Definition 1.3) into a complex analytic space Y, there exists a unique holomorphic mapping
 of X with center Sg (X) which is minimal with respect to the property that M(X) is normal and, for any T-meromorphic mapping f: X → Y (see Definition 1.3) into a complex analytic space Y, there exists a unique holomorphic mapping  such that
 such that  except some nowhere dense complex analytic set, where Sg(X) denotes the set of all singular points of X.
 except some nowhere dense complex analytic set, where Sg(X) denotes the set of all singular points of X.