It covers the "language of mathematics," including sets, continuity, and convergence.
The book excels at showing why a definition is framed the way it is, frequently pointing back to how the concept behaves on a standard real number line. Finding a PDF Link and Digital Access an introduction to general topology paul e long pdf link
If you are using this book to study, here are the main topics you will encounter: It covers the "language of mathematics," including sets,
: A summary document covering definitions of topological spaces, connectedness, and separation axioms. It covers the "language of mathematics
limits. Long generalizes this by defining a function as continuous if the inverse image of every open set is open. The chapter culminates in the definition of a —a bijective, bi-continuous map that proves two topological spaces are structurally identical. 4. Separation Axioms