We develop the basic theory of nilpotent types and their localizations away from sets of numbers in Homotopy Type Theory. For this, general results about the classifying spaces of fibrations with fiber an Eilenberg–Mac Lane space are proven. We also construct fracture squares for localizations away from sets of numbers. All of our proofs are constructive.

中文翻译：

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同伦型理论中的幂零型和断裂平方

我们从同伦类型理论中的数集发展了幂零类型的基本理论及其定位。为此，证明了关于纤维与 Eilenberg-Mac Lane 空间的纤维化空间分类的一般结果。我们还为远离数字集的本地化构建断裂方。我们所有的证明都是建设性的。