Starting with Einstein's theories of Special and General relativity, space-times are described by a different type of structure -- a set (of events) equipped with the proper time t(a,b) between points a and b; such spaces are known as space-times with kinematic metric, or k-space-times. In this paper, we show that Urysohn's result can be extended to k-space-times -- namely, that there exists an ultra-homogeneous universal k-space-time.

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