We present a method to search for large angular-scale correlations, termedtopological signatures, in the angular distribution of cosmic objects, whichdoes not depend on cosmological models or parameters and is based only on theangular coordinates of the objects. In order to explore Cosmic MicrowaveBackground temperature fluctuations data, we applied this method to simulateddistributions of objects in thin spherical shells located in three differentmultiply-connected Euclidean 3-spaces ($T^3$, $T_{\pi}$, and $G_6$), and foundthat the topological signatures due to these topologies can be revealed even iftheir intensities are small. We show how to detect such signatures for thecases of full-sky and partial-sky distributions of objects. This method canalso be applied to other ensembles of cosmic objects, like galaxies or quasars,in order to reveal possible angular-scale correlations in their distributions.
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机译：我们提出了一种在宇宙对象的角度分布中搜索大角度比例相关性（称为拓扑签名）的方法，该方法不依赖于宇宙学模型或参数，而仅基于对象的角坐标。为了研究宇宙微波背景温度波动数据，我们将此方法应用于位于三个不同的乘法连接的欧几里得3空间（$ T ^ 3 $，$ T _ {\ pi} $和$ G_6）的薄球形壳中的对象的模拟分布。 $），并发现即使强度很小，也可以显示由于这些拓扑而引起的拓扑签名。我们展示了如何在对象的全天和部分天分布情况下检测此类签名。该方法还可以应用于宇宙物体的其他集合，例如星系或类星体，以揭示其分布中可能存在的角标度相关性。
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