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 …