Reference request for Separation axioms in Topology.

Question

I am an undergraduate student of Mathematics and I want to study the topic "Separation Axioms" of general topology.I have already studied Basis,Subbasis,Product topology,Countability axioms,sequences and continuous functions.I tried to study Munkres but it is not suitable for me.I am looking for a text where the topics $T_1,T_2,T_3,T_{3\frac{1}{2}},T_4$,Urysohn's Lemma,Tietze extension theorem are discussed in detail.Can someone help me find such a text or note?I am a beginner,so I also need some motivation behind this chapter.

Answer 1

A standard reference work that covers all those topics, and many more, is Engelking's book "General Topology" (2nd ed 1989). Many topology papers use it as the default reference for all standard facts.

Answer 2

There are two important books. The book of James Dugundji Topology and the book of Willard. Also, for a basic introduction, you can read "An Introduction to General Topology", Paul E. Long (not available online)