Generalized paracompactness of subspaces in products of two ordinals

We will characterize metacompactness, subparacompactness and paracompactness of subspaces of products of two ordinal numbers. Using them we will show: 1. ch subspaces, weak submetaLindelöfness, screenability and metacompactness are equivalent. mpact subspaces of ω12 are paracompact. mpact subspaces of ω22 are subparacompact. is a metacompact subspace of (ω1+1)2 which is not paracompact. is a metacompact subspace of (ω2+1)2 which is not subparacompact.