The Kobayashi distance induces the standard topology

Barth, Theodore J.

doi:10.1090/S0002-9939-1972-0306545-X

The Kobayashi distance induces the standard topology
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by Theodore J. Barth PDF

Proc. Amer. Math. Soc. 35 (1972), 439-441 Request permission

Abstract:

The Kobayashi pseudodistance on a connected complex space is continuous with respect to the standard topology. If this pseudodistance is an actual distance, it induces the standard topology.

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