We compare two notions of $G$-fiber bundles and $G$-principal bundles in the literature, with an aim to clarify early results in equivariant bundle theory that are needed in current work of equivariant algebraic topology. We also give proofs of some equivariant generalizations of well-known non-equivariant results involving the classifying space.

中文翻译：

---

等变丛的注解

我们比较两个概念 $G$- 纤维束和 $G$- 文献中的主丛，旨在澄清等变丛理论的早期结果，这些结果在等变代数拓扑的当前工作中是需要的。我们还给出了一些涉及分类空间的众所周知的非等变结果的等变概括的证明。