Abstract
Let X and Y be complex spaces. Let C(X, Y) denote the family of continuous maps from X into Y with compact-open topology. Let D(X, Y) be the subfamily of distance-decreasing maps from X into Y with respect to their intrinsic pseudo-distances d X and d Y . Then D(X, Y) is closed in C(X, Y). The family Hol(X, Y) of holomorphic maps from X into Y is a closed subset of D(X, Y).
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© 1998 Springer-Verlag Berlin Heidelberg
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Kobayashi, S. (1998). Holomorphic Maps into Hyperbolic Spaces. In: Hyperbolic Complex Spaces. Grundlehren der mathematischen Wissenschaften, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03582-5_5
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DOI: https://doi.org/10.1007/978-3-662-03582-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08339-6
Online ISBN: 978-3-662-03582-5
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