topology (point-set topology, point-free topology) see also differential topology, algebraic topology, functional analysis and topological homotopy theory Basic concepts fiber space, space attachment Kolmogorov space, Hausdorff space, regular space, normal space sequentially compact, countably compact, locally compact, sigma-compact, paracompact, countably paracompact, strongly compact Examples Basic statements Theorems Analysis Theorems There are multiple different concepts of continuous maps,.