Topology: 1978 Lecture Notes

This book is about the branch of mathematics called topology.But its larger purpose is to illustrate how mathematics works: The interplay between intuition on the one hand and a puremathematical formulation on the other. Thus, we develop theaxioms for a topological space, formulate definitions withinthe context of those axioms and actually prove theorems fromthe axioms. But underlying all this is our intuition abouttopology. It is this intuition that guides and gives "meaning" tothe definit...