12. Further Topics in Topology

Countability Axioms — Quiz

Test your understanding of countability axioms with 5 practice questions.

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Practice Questions

Question 1

Which statement best describes a first countable space?

Question 2

What does it mean for a topological space to be second countable?

Question 3

Which of the following is always true in a second countable space?

Question 4

Which of the following is an example of a first countable space?

Question 5

Which statement about the relationship between first countability and second countability is correct?