General Topology Pdf | Engelking

Before diving into Engelking, ensure you have a solid grasp of: Set Theory

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The book uses a specific terminology for exercises: "check/verify" are easy; "show/give example" are moderate; and "prove" are intended to be difficult. Engelking plunges deep into advanced topics: cardinal and

Most topology books stop at compactness, connectedness, and metric spaces. Engelking plunges deep into advanced topics: cardinal and ordinal functions, paracompactness, dimension theory (covering small and large inductive dimensions as well as Lebesgue covering dimension), metrizability theorems (Bing-Nagata-Smirnov), and even an appendix on topological groups.

Engelking carries the torch of the famous Polish school of topology, emphasizing clarity, precision, and a logical flow from the simple to the complex.