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The cohomology rings of homogeneous spacesJul 10 2019Let $G$ be a compact connected Lie group and $K$ a closed connected subgroup. Assume that the order of any torsion element in the integral cohomology of $G$ and $K$ is invertible in a given principal ideal domain $k$. It is known that in this case the ... More Power maps in algebra and topologyJun 23 2011Given any twisting cochain t:C -->A, where C is a connected, coaugmented chain coalgebra and A is an augmented chain algebra over an arbitrary PID R, we construct a twisted extension of chain complexes A --> H(t) --> C. We show that both the well-known ... More math.ATmath.RAPrimary: 16E40, 55P35, Secondary: 16E45, 16T10, 16T15, 18G55, 55P40,
55U10, 55U15, 57T05, 57T30