This is an introductory course in topology, giving the basics of the theory.
Topological spaces, bases and sub-bases, first and second axiom of countability, separability, continuous functions and homeomorphism, finite product space. Separation axioms $(T_0, T_1, T_2)$. Regular spaces, completely regular spaces, normal spaces, compact spaces, connected spaces.
Selected questions from chapter 05 of [2], that is, Schaums Outline of General Topology.
Starting from page 73. (total 36 questions)
01, 03, 04, 05, 07, 10, 11, 13, 14, 15, 17, 18, 19, 20, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 41, 44, 46, 61, 63, 68, 75, 78, 85, 86.