Topology Metric Spaces Open Set Closed Set Neighborhood Accumulation Point Closure Continuity Pointwise Continuity Topological Space Induced by the Metric Space Isometric Spaces Complete Metric Space Topological Spaces Neighborhoods Sets Open Closed Closure Interior Boundary Continuous function Homeomorphism Connectedness Compactness Compact Topological Space Heine-Borel theorem References Mendelson, B. - Introduction to Topology A Short Introduction to Metric Spaces Bourbaki, N. - General Topology Chapters 1-4 Tu, L. W. - An introduction to Manifolds