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📚 An Introduction to General Topology by Paul E. Long: A Review
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definition of continuity into the elegant topological definition: a function is continuous if the inverse image of every open set is open. The text thoroughly explores —bijective, bi-continuous functions that prove two topological spaces are topologically "identical" or isomorphic. 4. Separation Axioms This public link is valid for 7 days
The structural layout of An Introduction to General Topology guides the reader from basic set theoretic foundations to highly complex topological properties. 1. Set Theory and Logic
) definition of continuity into an elegant, structural language. Can’t copy the link right now
3.94. 50 ratings7 reviews. One copy. 281 pages, Paperback. Published January 1, 1971. An introduction to general topology : Long, Paul E
Defining topologies via open sets, closed sets, and neighborhoods.
Paul E. Long was a professor of mathematics at the . Unlike celebrity authors like Munkres or Kelley, Long wrote primarily for the undergraduate who finds topology intimidating. His teaching philosophy revolved around clarity, incremental difficulty, and a "no-frills" approach. An Introduction to General Topology (published by Charles E. Merrill, later reprinted by Dover Publications) reflects this philosophy perfectly. It is concise (around 200 pages), affordable, and laser-focused on core concepts.
To classify and differentiate topological spaces, the book introduces the Separation Axioms (often denoted as Special emphasis is placed on Hausdorff spaces ( T2cap T sub 2