Examples and Counterexamples: Real Line with Discrete Metric/Topology

Examples and Counterexamples: Real Line with Discrete Metric/Topology. Did you try the challenges at the end? Leave your thoughts in the comments below!

CSIR-NET: Analysis/Topology Quiz 1

CSIR-NET December 2015, Part B Question. How should I analyze this question when I am preparing for CSIR-NET? Mark all mathematical terms here. Read their definitions. Try construct examples for each terms, try apply it in options. This question is interesting because it talks about a lot of mathematical terms, but the keyword is nowhere…