IP-Set

Images of \(C\) sets and related large sets under nonhomogeneous spectra

Let $\alpha 0$ and $0 nonhomogeneous spectrum of $\alpha$ and $\gamma$. By extension, we refer to the maps $g_{\alpha, \gamma}$ as spectra. Bergelson, Hindman, and Kra showed that if $A$ is an $IP$-set, a central set, an $IP^*$-set, or a …