Paul E. Long's An Introduction to General Topology (1971) is a classic text frequently used to bridge the gap between basic set theory and advanced analysis. Access the Book
Set Theory Preliminaries: The essential "alphabet" of topology, covering cartesian products, relations, and functions. an introduction to general topology paul e long pdf link
General Topology (Part 1): An article focusing on the "language" of mathematics and set-theoretic topology. An introduction to general topology : Long, Paul E Paul E
Connected and disconnected spaces, components, and path-connectedness. Long uses the intermediate value property as a topological invariant—showing why R is connected and Q is totally disconnected. General Topology (Part 1) : An article focusing
The Destination: The book eventually reaches the more restrictive world of metric spaces, where the familiar concept of distance finally makes sense.
These are not merely textbook drills; they are the building blocks of research-level analysis.
If you're looking for supplementary PDF notes to go along with your reading, these open-access university materials are excellent:
